Appendix: two-soliton solution
The constraints in parentheses after each parameter only restrict the parameter before it.
$$\begin{aligned} \nu _{{mn}} L_{{mn}} & = \sum\limits_{{m,n,o = 1}}^{2} {} \frac{1}{{[(\kappa _{{n0}} + J_{1} )(\kappa _{m} + \kappa _{{n0}} ) + (\iota _{2} + \iota _{{o0}} )J_{9} ]}}\mu _{{mn}} \Psi _{{1o}} [\kappa _{{n0}} J_{{2 + }} + \iota _{2} J_{{2 - }} (\kappa _{1} - \iota _{1} )J_{9} ] \\ & + \Upsilon _{{mn}} \Psi _{{2o}} [\kappa _{{n0}} J_{{3 + }} + \iota _{2} (J_{{3 - }} - \iota _{2} ) + \iota _{1} \iota _{{10}} + (\iota _{{o0}} - \iota _{1} )\kappa _{1} ] \\ & + \Upsilon _{{3o}} \delta _{{mn}} (\kappa _{{n0}} J_{{4 + }} + \iota _{2} J_{{5 + }} - J_{{6 + }} - \iota _{1}^{2} ) + \alpha _{{12}} A_{{2o}} B_{{mn}} (\kappa _{{n0}} J_{{4 - }} + \iota _{2} J_{{5 - }} + J_{{6 - }} - \iota _{2}^{2} ) \\ & + \alpha _{{22}} A_{{1o}} B_{{mn}} [ - \kappa _{{n0}} J_{7} + \iota _{2} J_{8} - J_{9} (\iota _{1} + \kappa _{1} ) - \kappa _{m}^{2} ],{\text{with }}J_{1} = \iota _{2} + \iota _{{o0}} + \iota _{1} ,J_{{2 \pm }} = \mp \kappa _{{n0}} - \kappa _{m} \\ & + \iota _{1} + \iota _{{o0}} ,J_{{3 \pm }} = - \kappa _{{n0}} - \kappa _{m} - \iota _{1} \pm \iota _{{o0}} ,J_{{4 \pm }} = - \kappa _{m} + \iota _{1} \pm \iota _{{o0}} ,J_{{5 \pm }} = \kappa _{{n0}} \pm \iota _{{o0}} \mp \kappa _{1} \\ & + \iota _{1} ,J_{{6 \pm }} = \iota _{1} \iota _{{o0}} - \iota _{{o0}} \kappa _{1} - \iota _{1} \kappa _{1} \pm \kappa _{m}^{2} ,J_{7} = \kappa _{m} + \iota _{1} + \iota _{{o0}} ,J_{8} = - \kappa _{{n0}} + \iota _{{o0}} - \kappa _{1} + \iota _{1} ,J_{9} = \iota _{{o0}} + \iota _{1} . \\ \end{aligned}$$
$$\begin{aligned} A_{{op}} B_{{mn}} & = \sum\limits_{{m,n,o,p = 1}}^{2} {} - \frac{1}{{2P_{{1 + }}^{2} }}\{ ( - 2E_{{1 - }}^{2} \Psi _{{mn}} + \alpha _{{m2}} \alpha _{{n20}} [i\gamma (E_{{2 + }} - \iota _{m} ) - \mu ] \\ & + 2\Psi _{{nm0}} \delta _{{mn}} E_{{2 + }}^{2} + 2\delta _{{nm0}} \Psi _{{mn}} E_{3}^{2} - [i\gamma (\kappa _{o} - E_{3} ) + \mu ] \\ & (\alpha _{{o1}} \alpha _{{p10}} \Psi _{{mn}} + \Lambda _{{mn}} \Delta _{{mn}} \alpha _{{p10}} ) - \Delta _{{nm0}} \Lambda _{{nm0}} \alpha _{{o1}} (i\gamma \kappa _{o} + \mu ) \\ & + \Upsilon _{{po0}} \mu _{{op0}} \alpha _{{m2}} (i\gamma \iota _{m} + \mu ) + \Upsilon _{{po}} \mu _{{po}} \alpha _{{n20}} [i\gamma (E_{{2 - }} - \iota _{m} ) + \mu ]\} , \\ & {\text{with }}E_{{1 \pm }} = \pm \kappa _{o} \pm \kappa _{{p0}} + \iota _{m} + \iota _{{n0}} ,E_{{2 \pm }} = \kappa _{o} \pm \kappa _{{p0}} , \\ & E_{3} = \iota _{m} + \iota _{{n0}} ;m = 1,\mu _{{22}} = \Lambda _{{mn}} = \Lambda _{{nm0}} = 1;m = 2, \\ & \Upsilon _{{po}} = \Delta _{{mn}} = \Delta _{{nm0}} = 1;n = 1,\mu _{{op0}} = 1;n = 2,\Upsilon _{{po0}} = 1. \\ \end{aligned}$$
$$\begin{aligned} \delta_{17} & = \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ o \ne m,p \ne n \end{subarray} }^{2} {} - \frac{1}{{2F_{1}^{2} }}\{ - 2\delta_{o1} [F_{2} + ( - 1)^{p - 1} F_{3} ] + i\gamma ( - 1)^{p + 1} \alpha_{p1} \alpha_{o10} [F_{2} + ( - 1)^{o} \kappa_{m0} ] - 2F_{1} \delta_{po0} + \mu \alpha_{p1} \alpha_{o10} \} \delta_{mn} \\ & + i\gamma F_{1} \Delta_{3p} \alpha_{n10} + i\Delta_{3p0} \alpha_{n1} \kappa_{n} + \mu (\Delta_{3p} \alpha_{n10} + \Delta_{3p0} \alpha_{n1} ),{\text{with }}F_{1} = \kappa_{10} + \kappa_{20} + \kappa_{1} + \kappa_{2} ,F_{2} = \kappa_{1} - \kappa_{2} ,F_{3} = \kappa_{10} - \kappa_{20} . \\ \end{aligned}$$
$$\begin{aligned} \delta_{19} & = \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ o \ne m,p \ne n \end{subarray} }^{2} {} - \frac{1}{{2F_{4}^{2} }}\{ - 2\Psi_{op} [F_{5} + ( - 1)^{p - 1} F_{6} ] + i\gamma ( - 1)^{p + 1} \alpha_{o2} \alpha_{p20} [F_{5} + ( - 1)^{o} \iota_{n0} ] + 2F_{4} \delta_{po0} - \mu \alpha_{o2} \alpha_{p20} \} \Psi_{mn} \\ & - i\gamma F_{4} \Upsilon_{3p} \alpha_{n20} - i\Upsilon_{3p0} \alpha_{n2} \iota_{n} - \mu (\Upsilon_{3p} \alpha_{n10} + \Upsilon_{3p0} \alpha_{n1} ),{\text{with }}F_{4} = \iota_{10} + \iota_{20} + \iota_{1} + \iota_{2} ,F_{5} = \iota_{1} - \iota_{2} ,F_{6} = \iota_{10} - \iota_{20} . \\ \end{aligned}$$
$$\begin{aligned} \Theta _{{mn}} \Phi _{{mn}} & = \sum\limits_{{m,n,o = 1}}^{2} {} \frac{1}{{[(\iota _{{n0}} + K_{1} )(\iota _{{n0}} + \iota _{m} ) + (\kappa _{2} + \kappa _{{o0}} )(\kappa _{1} + \kappa _{{o0}} )]}}\Delta _{{mn}} \delta _{{o2}} [L_{1} K_{{2 + }} + L_{2} L_{4} ] \\ & + \Lambda _{{mn}} \delta _{{o1}} [L_{1} K_{{2 - }} - L_{2} L_{3} ] + \Delta _{{3o}} \Psi _{{mn}} [L_{1} K_{{3 + }} - \kappa _{{o0}} (L_{3} + \kappa _{2} ) - \kappa _{2} \kappa _{1} ] \\ & - \alpha _{{11}} A_{{o2}} B_{{mn}} [L_{1} K_{{3 - }} - L_{2} L_{4} ] - \alpha _{{21}} A_{{o1}} B_{{mn}} [L_{1} K_{4} + L_{2} L_{3} ],{\text{with }}K_{1} = \kappa _{1} \\ & + \kappa _{2} + \kappa _{{o0}} ,K_{{2 \pm }} = - \iota _{{n0}} + \kappa _{{o0}} \mp \kappa _{1} \pm \kappa _{2} ,K_{{3 \pm }} = \mp \iota _{m} + \kappa _{{o0}} \pm \kappa _{1} \\ & + \kappa _{2} ,K_{4} = \iota _{m} + \kappa _{{o0}} + \kappa _{1} - \kappa _{2} ,L_{1} = \iota _{{n0}} + \iota _{m} ,L_{2} = \kappa _{1} - \kappa _{2} ,L_{3} = \kappa _{{o0}} + \kappa _{1} ,L_{4} = \kappa _{{o0}} + \kappa _{2} . \\ \end{aligned}$$
$$\begin{aligned} \Delta _{{4m}} & = \sum\limits_{{m = 1}}^{2} {} \frac{1}{{[\iota _{{10}}^{2} + \iota _{{20}}^{2} + M_{{1 + }} \iota _{{10}} + (\iota _{2} + \iota _{1} + \kappa _{m} )\iota _{{20}} + (\kappa _{m} + \iota _{2} )\iota _{1} + \iota _{2} \kappa _{m} ]}}\Delta _{{11}} \Lambda _{{11}} \Psi _{{22}} [\iota _{{10}} M_{{2 + }} \\ & + \iota _{2} M_{{4 + }} + \kappa _{m} \left\langle { - \iota _{{10}} + \iota _{{20}} - \iota _{1} } \right\rangle + \iota _{1} \iota _{{20}} ] + \Delta _{{12}} \Lambda _{{12}} \Psi _{{21}} (\iota _{{10}} M_{{1 - }} \\ & + \iota _{2} M_{{4 - }} + \iota _{{20}} M_{{7 + }} - \iota _{1} \kappa _{m} ) + \Delta _{{21}} \Lambda _{{21}} \Psi _{{12}} [\iota _{{10}} M_{{2 - }} \\ & + \iota _{1} M_{{5 + }} + \kappa _{m} \left\langle { - \iota _{{10}} + \iota _{{20}} } \right\rangle + \iota _{2} \iota _{{20}} + \kappa _{1} \iota _{2} ] + \Delta _{{22}} \Lambda _{{22}} \Psi _{{11}} [\iota _{{10}} M_{{3 + }} \\ & + \iota _{1} M_{{5 - }} + \iota _{{20}} ( - \iota _{2} - \iota _{{20}} - \kappa _{m} ) + \kappa _{1} \iota _{2} ] + \alpha _{{m1}} \delta _{{19}} (\iota _{{10}} M_{{3 - }} \\ & + \iota _{2} M_{6} + \iota _{1} M_{{7 - }} + \kappa _{m} \iota _{{20}} ),{\text{with }}M_{{1 \pm }} = \pm \iota _{2} + \iota _{1} \\ & + \iota _{{20}} + \kappa _{m} ,M_{{2 \pm }} = \pm \iota _{2} + \iota _{{20}} - \iota _{{10}} \mp \iota _{1} ,M_{{3 \pm }} = \pm \iota _{2} \pm \iota _{{20}} \\ & + \kappa _{m} - \iota _{1} ,M_{{4 \pm }} = \mp \iota _{{20}} + \iota _{1} - \iota _{2} - \kappa _{1} ,M_{{5 \pm }} = - \iota _{1} \\ & + \iota _{2} \mp \iota _{{20}} + \kappa _{m} ,M_{6} = - \iota _{{20}} - \iota _{1} - \iota _{2} - \kappa _{1} ,M_{{7 \pm }} = - \iota _{{20}} \mp \kappa _{m} - \iota _{1} \\ \end{aligned}$$
$$\begin{aligned} \Upsilon_{4m} & = \sum\limits_{m = 1}^{2} {} \frac{1}{{[\kappa_{10} (\iota_{m} + N_{1 + } ) + (\kappa_{2} + \iota_{m} + \kappa_{1} + \kappa_{20} )\kappa_{20} + (\kappa_{2} + \iota_{m} )\kappa_{1} + \iota_{m} \kappa_{2} ]}}\Upsilon_{11} \mu_{11} \delta_{4} [(\kappa_{10} + \iota_{m} )N_{1 - } + \kappa_{2} N_{3 + } + \kappa_{1} \kappa_{10} ] + \Upsilon_{12} \mu_{12} \delta_{2} \\ [\kappa_{20} N_{2 + } & - N_{1 - } \iota_{m} + \kappa_{2} N_{3 - } + \kappa_{1} \kappa_{20} ] + \Upsilon_{21} \mu_{21} \delta_{3} [ - N_{2 + } (\kappa_{10} + \iota_{m} ) + \kappa_{1} N_{4} + \kappa_{2} \kappa_{20} ] + \Upsilon_{22} \mu_{22} \delta_{1} [ - N_{1 - } (\kappa_{20} + \iota_{m} ) + \kappa_{1} N_{5} + \kappa_{2} \kappa_{10} ] + \alpha_{m2} \delta_{17} [\kappa_{1} \\ N_{2 - } & + \iota_{m} N_{1 + } + \kappa_{2} N_{6} - \kappa_{10} \kappa_{20} ],{\text{with }}N_{1 \pm } = \kappa_{2} + \kappa_{20} \pm \kappa_{10} \pm \kappa_{1} ,N_{2 \pm } = \pm \kappa_{10} + \kappa_{2} - \kappa_{20} - \kappa_{1} ,N_{3 \pm } = - \kappa_{2} + \kappa_{1} - \kappa_{10} /\kappa_{20} ,N_{4} = \kappa_{2} - \kappa_{1} - \kappa_{20} ,N_{5} = \kappa_{20} \\ & - \kappa_{1} - \kappa_{10} ,N_{6} = - \kappa_{2} - \kappa_{20} - \kappa_{10} ;m = 1,\mu_{mn} = 1,\Lambda_{11} = 1;m = 2,\Upsilon_{mn} = 1,\Delta_{21} = 1. \\ \end{aligned}$$
$$\begin{gathered} \Upsilon_{51} = \frac{1}{{\kappa_{10}^{2} + (U_{1} + \kappa_{20} + \kappa_{1} )\kappa_{10} + \kappa_{20}^{2} + (U_{1} + \kappa_{1} )\kappa_{20} + U_{1} \kappa_{1} + (U_{1} - \kappa_{2} )\kappa_{2} + (\iota_{10} + \iota_{2} )(\iota_{10} + \iota_{1} )}}((\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {U_{2 + } } )(\kappa_{20} \kappa_{10} + \kappa_{2} \kappa_{1} ) + (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} U_{2 - } )\iota_{1} \iota_{10} \hfill \\ + (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} U_{3 + } )\iota_{2} \iota_{10} - (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} U_{3 - } )\iota_{1} \iota_{2} + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {[( - 1)^{m + n} U_{4} } - U_{5 + } ]U_{6} (\kappa_{10} - \kappa_{20} ) + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} [( - 1)^{m + n} (U_{4} + U_{5 - } )]\iota_{1} \kappa_{20} + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {( - 1)^{m} } U_{4} \hfill \\ + U_{5 - } ][ - \iota_{1} (\kappa_{10} + \kappa_{2} ) + \iota_{1} - \iota_{2} \kappa_{1} + \iota_{10} (U_{6} + \kappa_{10} - \kappa_{20} )] + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {( - 1)^{m} (} U_{4} - \phi_{m1} \alpha_{o2} - \Upsilon_{4m} \Psi_{o1} ) + \Upsilon_{31} \delta_{17} ]\iota_{2} \kappa_{2} + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {[( - 1)^{m - 1} } (U_{4} - U_{5 + } )]\iota_{2} \kappa_{10} + \hfill \\ [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} ( - 1)^{m - 1} (U_{4} + U_{5 + } )]\iota_{2} \kappa_{20} - (\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {U_{22} } )(\kappa_{20}^{2} + \kappa_{1}^{2} ) - (\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {} U_{11} )\kappa_{2}^{2} - \sum\limits_{\begin{subarray}{l} m,n, = 1, \\ m \ne n \end{subarray} }^{2} {} (\nu_{m1} A_{11} B_{2n} + \Upsilon_{4m} \Psi_{n2} + \Upsilon_{m1} A_{2n} B_{21} + \mu_{m1} A_{2n} B_{11} )\kappa_{10}^{2} + \hfill \\ (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} \nu_{mn} \delta_{po} + \Upsilon_{31} \delta_{17} )\iota_{10}^{2} - (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {\Upsilon_{mn} A_{po} B_{21} } + \phi_{21} \alpha_{12} )\iota_{2}^{2} - (\Upsilon_{41} \Psi_{11} + \phi_{11} \alpha_{22} + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {\mu_{mn} A_{po} B_{11} } )\iota_{1}^{2} - [(\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {\Upsilon_{4m} \Psi_{n1} + \Upsilon_{2m} A_{n1} B_{21} } ) \hfill \\ + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} \nu_{mn} \delta_{po} ]\kappa_{20}^{2} ,{\text{with }}U_{1} = \iota_{2} + \iota_{10} + \kappa_{2} + \iota_{1} ,U_{2 \pm } = \Upsilon_{mn} A_{po} B_{21} \pm \mu_{mn} A_{po} B_{11} \pm \nu_{mn} \delta_{po} - \phi_{m1} \alpha_{o2} \mp \Upsilon_{4m} \Psi_{o1} - \Upsilon_{31} \delta_{17} ,U_{3 \pm } = \Upsilon_{mn} A_{po} B_{21} \mp \mu_{mn} A_{po} B_{11} \hfill \\ \mp \nu_{mn} \delta_{po} + \phi_{m1} \alpha_{o2} \pm \Upsilon_{4m} \Psi_{o1} + \Upsilon_{31} \delta_{17} ,U_{4} = \Upsilon_{mn} A_{po} B_{21} + \mu_{mn} A_{po} B_{11} + \nu_{mn} \delta_{po} ,U_{5 \pm } = \pm \phi_{m1} \alpha_{o2} + \Upsilon_{4m} \Psi_{o1} + \Upsilon_{31} \delta_{17} ,U_{nn} = \Upsilon_{nm} A_{np} B_{21} + \mu_{nm} A_{np} B_{11} + \nu_{nm} A_{11} B_{np} \hfill \\ + \phi_{m1} \alpha_{n2} + \Upsilon_{31} \delta_{17} ,U_{6} = \kappa_{2} - \kappa_{1} . \hfill \\ \end{gathered}$$
$$\begin{gathered} \Upsilon_{52} = \frac{1}{{(\kappa_{10}^{2} + (V_{3} + \kappa_{20} + \kappa_{1} )\kappa_{10} + \kappa_{20}^{2} + (V_{3} + \kappa_{1} )\kappa_{20} + V_{3} \kappa_{1} + (V_{3} - \kappa_{2} )\kappa_{2} + (\iota_{20} + \iota_{2} )(\iota_{20} + \iota_{1} )}}( - \sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {} \Upsilon_{n1} A_{nm} B_{22} + \mu_{n1} A_{nm} B_{12} + L_{n1} \delta_{2m} + \Upsilon_{4m} \Psi_{n2} )\kappa_{n0}^{2} + \hfill \\ (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {V_{1} } - V_{2 + } )\kappa_{20} \kappa_{10} + \kappa_{2} \kappa_{1} + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {(( - 1)^{n} V_{1} } - V_{2 + } )\kappa_{1} \kappa_{10} + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {(( - 1)^{n} V_{1} } + V_{2 - } )[\iota_{20} (\kappa_{10} - \kappa_{20} ) + \iota_{1} (\kappa_{2} + \kappa_{20} ) + \iota_{20} (\kappa_{1} - \kappa_{2} )] + \hfill \\ \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {(( - 1)^{m + n} V_{1} } - V_{2 + } )\kappa_{2} \kappa_{10} + \kappa_{1} \kappa_{20} - \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} (( - 1)^{m + n} V_{1} + V_{2 + } )\kappa_{2} \kappa_{20} + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {(( - 1)^{n - 1} V_{1} } + V_{2 + } )[\kappa_{10} (\iota_{1} - \iota_{2} ) + \iota_{2} (\kappa_{1} + \kappa_{2} ) - \iota_{1} \kappa_{1} ] \hfill \\ + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {( - V_{1} } + V_{2 - } )(\iota_{1} - \iota_{2} )\iota_{20} - \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {( - V_{1} } + V_{2 - } )\iota_{1} \iota_{2} - (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} L_{mn} \delta_{po} + \Upsilon_{32} \delta_{17} )\iota_{20}^{2} - (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} \Upsilon_{mn} A_{po} B_{22} + \Upsilon_{14} \Psi_{22} + \phi_{22} \alpha_{12} )\iota_{2}^{2} \hfill \\ - (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} \mu_{mn} A_{po} B_{12} + \Upsilon_{41} \Psi_{12} + \phi_{12} \alpha_{22} )\iota_{1}^{2} - (\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {\mu_{1m} A_{n2} B_{12} + \phi_{m2} \alpha_{1n} + \Upsilon_{1m} A_{n2} B_{22} } + L_{1m} \delta_{n2} + \Upsilon_{32} \delta_{17} )(\kappa_{2}^{2} - \kappa_{10}^{2} ),{\text{with }}V_{1} = \Upsilon_{mn} A_{po} B_{22} + \hfill \\ \mu_{mn} A_{po} B_{12} + L_{mn} \delta_{po} ,V_{2 \pm } = \Upsilon_{4m} \Psi_{o2} \pm \phi_{m2} \alpha_{o2} + \Upsilon_{32} \delta_{17} ,V_{3} = \iota_{2} + \iota_{20} + \kappa_{2} + \iota_{1} . \hfill \\ \end{gathered}$$
$$\begin{aligned} & \Delta _{{51}} = \frac{1}{{\iota _{{10}} ^{2} + (\iota _{{20}} + \iota _{1} + W_{4} )\iota _{{10}} + \iota _{{20}} ^{2} + (W_{4} + \iota _{1} )\iota _{{20}} + W_{4} \iota _{1} + (W_{4} - \iota _{2} )\iota _{2} + (\kappa _{{10}} + \kappa _{2} )(\kappa _{{10}} + \kappa _{1} )}} - (\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {} \delta _{{m2}} \Lambda _{{n1}} + \vartheta _{{m2}} \Delta _{{n1}} + \Theta _{{m1}} \Psi _{{n2}} + \Delta _{{4m}} \delta _{{1n}} )\iota _{{10}} ^{2} + [(\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} \\ & W_{{1 + }} + W_{{2 + }} - T_{1} ](\iota _{{20}} \iota _{{20}} + \iota _{2} \iota _{1} ) + [(\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} W_{{1 - }} + W_{{2 - }} ) - T_{2} ]\kappa _{1} \kappa _{{10}} - [(\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} W_{{1 + }} + W_{{2 - }} ) - T_{2} ]\kappa _{2} \kappa _{{10}} - [(\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} - W_{{1 - }} + W_{{2 - }} ) - T_{2} ]\kappa _{1} \kappa _{2} + \\ & [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {( - 1)^{{m + n}} } (W_{{1 + }} + \delta _{{op}} \Lambda _{{mn}} ) - \Delta _{{4m}} \delta _{{1o}} - T_{1} ](2\iota _{1} + 2\iota _{2} )\iota _{{20}} + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {( - 1)^{{m + 1}} } (W_{{1 + }} + \delta _{{op}} \Lambda _{{mn}} ) + \Delta _{{4m}} \delta _{{1o}} + T_{2} ][(2\kappa _{{10}} + \kappa _{1} + \kappa _{2} )\iota _{{20}} + (\kappa _{1} + \iota _{{10}} ) \\ & \iota _{{20}} - \kappa _{{10}} \iota _{2} ] + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {( - 1)^{{m + 1}} } (W_{{1 + }} - W_{{2 - }} ) + T_{2} ][(\kappa _{{10}} + \kappa _{1} + \kappa _{2} )\iota _{1} + (\kappa _{2} - \kappa _{1} )\iota _{2} ] + [(\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n,n \ne 2 \end{subarray} }^{2} {} W_{3} + \Delta _{{4m}} \delta _{{1n}} )]\iota _{{20}} ^{2} - [(\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n,m \ne 2 \end{subarray} }^{2} {} W_{3} ) + T_{1} ](\iota _{1} ^{2} + \iota _{2} ^{2} ) - \\ & [\delta _{{19}} \Delta _{{31}} + (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} \Theta _{{op}} \Psi _{{mn}} )]\kappa _{{10}} ^{2} - [(\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} \delta _{{op}} \Lambda _{{mn}} ) + \Delta _{{41}} \delta _{1} + \delta _{{31}} \alpha _{{21}} ]\kappa _{1} ^{2} + [(\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} A_{{12}} B_{{op}} \Delta _{{mn}} ) + \delta _{{41}} \alpha _{{11}} + \Delta _{{41}} \delta _{2} ]\kappa _{2} ^{2} ,with{\text{ }}T_{1} = \delta _{{19}} \Delta _{{31}} \\ & + \delta _{{41}} \alpha _{{11}} + \delta _{{31}} \alpha _{{21}} ;T_{2} = \delta _{{19}} \Delta _{{31}} - \delta _{{41}} \alpha _{{11}} - \delta _{{31}} \alpha _{{21}} ,W_{{1 \pm }} = A_{{12}} B_{{mn}} \Delta _{{op}} \pm \Theta _{{op}} \Psi _{{mn}} ,W_{{2 \pm }} = \pm \delta _{{mn}} \Lambda _{{op}} - \Delta _{{4m}} \delta _{{1o}} ,W_{3} = \delta _{{m2}} \Lambda _{{n1}} + A_{{12}} B_{{m2}} \Delta _{{n1}} + \Theta _{{m1}} \Psi _{{n2}} , \\ & W_{4} = \iota _{2} + \kappa _{{10}} + \kappa _{2} + \kappa _{1} . \\ \end{aligned}$$
$$\begin{gathered} \Delta_{52} = \frac{1}{{\iota_{10}^{2} + (X_{2} + \iota_{20} + \iota_{1} )\iota_{10} + \iota_{20}^{2} + (X_{2} + \iota_{1} )\iota_{20} + X_{2} \iota_{1} + (X_{2} - \iota_{2} )\iota_{2} + (\kappa_{20} + \kappa_{2} )(\kappa_{20} + \kappa_{1} )}}[( - 1)^{m + n} \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} X_{1 + } - \Delta_{4m} \delta_{2n} - T_{1} ](\iota_{2} \iota_{10} + \iota_{1} \iota_{20} ) + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {( - 1)^{n - 1} X_{1 + } } \hfill \\ + \Delta_{4m} \delta_{2n} + T_{2} ][(\kappa_{20} + \kappa_{1} + \kappa_{2} )(\iota_{10} - \iota_{20} )] - [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} ( - 1)^{m + n} X_{1 + } + \Delta_{4m} \delta_{2n} + T_{1} ]\iota_{2} \iota_{20} + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} X_{1 + } - \Delta_{4m} \delta_{2n} - T_{1} ]\iota_{2} \iota_{1} + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} ( - 1)^{m + 1} X_{1 + } + \hfill \\ \Delta_{4m} \delta_{2n} + T_{2} ][(\kappa_{20} + \kappa_{1} - \kappa_{2} )\iota_{1} - (\kappa_{20} + \kappa_{1} + \kappa_{2} )\iota_{2} ] + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {X_{1 - } } + \Delta_{4m} \delta_{2n} + T_{2} ](\kappa_{1} + \kappa_{2} )\kappa_{20} + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} X_{1 - } - \Delta_{4m} \delta_{2n} + T_{2} ]\kappa_{2} \kappa_{1} ) + [ - \delta_{19} \Delta_{31} - \hfill \\ (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} \Phi_{op} \Psi_{mn} )]\kappa_{20}^{2} - (\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n,n \ne 2 \end{subarray} }^{2} {} X_{3} )\iota_{20}^{2} - [(\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n,m \ne 2 \end{subarray} }^{2} {} X_{3} ) + T_{1} ]\iota_{1}^{2} - (\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n,m \ne 1 \end{subarray} }^{2} {} X_{3} + T_{1} )\iota_{2}^{2} + [ - \Delta_{41} \delta_{2m} - (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} A_{2m} B_{op} \Lambda_{mn} ) - A_{11} B_{2m} \alpha_{n1} ]\kappa_{m}^{2} , \hfill \\ {\text{with }}T_{1} = \delta_{19} \Delta_{32} + A_{11} B_{22} \alpha_{11} + A_{11} B_{21} \alpha_{21} ,T_{2} = \delta_{19} \Delta_{32} - A_{11} B_{22} \alpha_{11} - A_{11} B_{21} \alpha_{21} ,X_{1 \pm } = A_{22} B_{mn} \Delta_{op} \pm \Phi_{op} \Psi_{mn} \pm A_{21} B_{mn} \Lambda_{op} ,X_{2} = \iota_{2} + \kappa_{20} + \kappa_{2} + \kappa_{1} , \hfill \\ X_{3} = A_{21} B_{m2} \Lambda_{n1} + A_{22} B_{m2} \Delta_{n1} + \Phi_{m1} \Psi_{n2} + \Delta_{4m} \delta_{1n} . \hfill \\ \end{gathered}$$
$$\begin{gathered} \phi_{mn} = \frac{1}{{2(\iota_{n0} + Q_{1} + \iota_{m} )^{2} }}(\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {iQ_{8} } )\Psi_{mn} (\kappa_{m} - \iota_{n} - i\iota_{n0} ) + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {} i(Q_{2} + Q_{20} + Q_{5} )\delta_{mn} ][\iota_{m} + ( - 1)^{m} Q_{1} ] + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {} iQ_{3} (Q_{1} + \iota_{m} ) - \sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {} iQ_{4} (\iota_{m} + Q_{1} ) \hfill \\ + \sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {} i\Delta_{3m} \alpha_{n10} \kappa_{m0} + \sum\limits_{\begin{subarray}{l} m,n,o = 1, \\ o \ne m \end{subarray} }^{2} {iQ_{5} \delta_{mn} } \iota_{10} + (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {} \delta_{mn} \delta_{po0} )\Psi_{mn} ( - 2Q_{12} - 4\iota_{n0} ) + (\sum\limits_{\begin{subarray}{l} m = 2,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {} iQ_{3} + Q_{6} + Q_{60} )[2\sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {} ( - 1)^{m} Q_{8} ](2Q_{1} - Q_{13} - (\iota_{20} \hfill \\ + \iota_{m} )^{2} + 2\iota_{20} \kappa_{1} + \iota_{n0} \kappa_{10} - \iota_{10} \kappa_{2} + 2\kappa_{20} (\kappa_{10} - \iota_{n0} )) + \mu [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {} i(Q_{2} + Q_{20} + Q_{5} )\delta_{mn} + \sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {} iQ_{4} + Q_{7} + Q_{70} + \alpha_{m2} \alpha_{n20} \delta_{17} - 2T_{2} \Psi_{nm0} (\kappa_{1}^{2} + 2\kappa_{m0} ) + \hfill \\ 2\Psi_{mn} (2\iota_{20} T_{1} - T_{m} \kappa_{2}^{2} - T_{1} \kappa_{1}^{2} ) - 2\Psi_{mn} (\delta_{17} + \delta_{170} )(2\iota_{n0} + 2\kappa_{m0} + Q_{12} )] + \Psi_{mn} ( - 4(T_{1} + T_{2} ) + 4T_{1} Q_{1} - 2( - 1)^{m} T_{1} \kappa_{m0}^{2} ) + 4\Psi_{nm0} T_{2} (\kappa_{2} + ( - 1)^{m} \kappa_{m0} ) + (i\Delta_{310} \Delta_{mn} \hfill \\ + i\Delta_{130} \Lambda_{mn} )(\iota_{m} + \kappa_{1} ) + \mu (\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {} Q_{8} )\Psi_{mn} - 2\Psi_{nm0} T_{2} (\kappa_{10} - \kappa_{20} )^{2} + [iQ_{7} + Q_{9 + } ](\iota_{m} + \kappa_{1} ) + (Q_{11} + iQ_{6} )\kappa_{2} + (i\Upsilon_{41} \alpha_{n20} + i\Delta_{13} \Lambda_{nm0} + Q_{9 - } )\kappa_{10} + (i\Delta_{31} \Delta_{nm0} - \hfill \\ Q_{4} + Q_{11} )\kappa_{20} + (i\Phi_{mn} \alpha_{110} + iQ_{60} )\iota_{10} ,{\text{with }}T_{1} = \delta_{11} \delta_{220} + \delta_{21} \delta_{210} + \delta_{17} ;T_{2} = \delta_{22} \delta_{11} + \delta_{21} \delta_{12} + \delta_{17} ;m = 1,\mu_{mn} = 1;m = 2,\Upsilon_{mn} = 1;n = 1,\mu_{mn0} = \Delta_{mn} = 1; \hfill \\ n = 2,\Upsilon_{mn0} = \Lambda_{mn} = 1;n = 2,\Upsilon_{140} = \Upsilon_{410} = 0;Q_{1} = \kappa_{20} + \kappa_{2} + \kappa_{1} + \kappa_{10} ,Q_{2} = \Upsilon_{po} \mu_{po} \alpha_{o20} ,Q_{3} = \Upsilon_{mn} \Upsilon_{po0} \mu_{mn} \mu_{po0} ,Q_{4} = \alpha_{p1} \alpha_{o10} A_{mn} B_{mn} ,Q_{5} = \alpha_{o10} \Lambda_{mn} \hfill \\ \Delta_{mn} ,Q_{6} = \Theta_{mn} \alpha_{210} + \Delta_{31} \Lambda_{nm0} + \Delta_{32} \Delta_{nm0} ,Q_{7} = \Phi_{mn} \alpha_{110} + \Upsilon_{4m} \alpha_{n20} ,Q_{8} = \Delta_{3n0} \alpha_{m1} + i\Delta_{3n} \alpha_{m10} ,Q_{8} = (\delta_{mn} + \delta_{op0} )A_{op} B_{mn} ),Q_{9 \pm } = \pm i\alpha_{m2} \alpha_{n20} \delta_{17} + i\Theta_{mn} \alpha_{210} , \hfill \\ Q_{11} = i\Phi_{mn} \alpha_{110} - i\alpha_{m2} \alpha_{n20} \delta_{17} + i\Upsilon_{4m} \alpha_{n20} ,Q_{12} = \iota_{m}^{2} + \iota_{n0}^{2} ,Q_{13} = \kappa_{m}^{2} + \kappa_{m0}^{2} . \hfill \\ \end{gathered}$$
$$\begin{gathered} C_{mn} = - \frac{1}{{2(S_{8} + \kappa_{m} + \kappa_{n0} )^{2} }}[\sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {} iS_{2} \delta_{mn} ]S_{3} - (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {\Delta_{po0} \Lambda_{po0} \Delta_{mn} \Lambda_{mn} } )(S_{3} - \iota_{20} - \mu ) + (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {} i\alpha_{p2} \alpha_{po0} A_{op} B_{mn} )(\kappa_{1} + \iota_{1} + ( - 1)^{m} \iota_{2} - \iota_{20} - \mu ) + \hfill \\ (\sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} {} T_{1} + 2\delta_{190} )[\delta_{mn} (\kappa_{n}^{2} + \kappa_{m0}^{2} + 4\kappa_{m0} + 4\iota_{m0} )] + \delta_{mn} T_{1} (\iota_{m0} - 8\kappa_{m0} ) - [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {(S_{1} + S_{10} )\Psi_{mn} } ][\kappa_{1} + ( - 1)^{m + 1} (\iota_{1} - \iota_{2} ) + \iota_{10} + ( - 1)^{n - 1} \iota_{20} - \mu ] + [\sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} 2 (\Psi_{po} + \hfill \\ \Psi_{op0} )A_{mn} B_{mn} ]\{ \kappa_{m}^{2} + \iota_{m}^{2} - \iota_{1} \delta_{mn} + \iota_{10} + (\iota_{20} + 2\kappa_{10} )\kappa_{1} + \kappa_{m0} [ - 2\iota_{1} + 4\iota_{2} + 4( - 1)^{m} (\iota_{20} - \iota_{10} )]\} + 2\sum\limits_{\begin{subarray}{l} m,n,o,p = 1 \\ m \ne o,n \ne p \end{subarray} }^{2} ( \Psi_{op} \delta_{nm0} + A_{op} B_{mn} + A_{po0} B_{mn0} )\Psi_{mn} (\iota_{20} - \iota_{2} + 2\iota_{m0}^{2} ) - \mu \sum\limits_{\begin{subarray}{l} m,n = 1, \\ m \ne n \end{subarray} }^{2} {S_{2} } \hfill \\ \delta_{mn} - \mu (\sum\limits_{m,n = 1}^{2} {} S_{5} + (S_{4} + S_{40} ))( - i\Delta_{4n} \alpha_{m10} - iS_{11} + iS_{5} + i\alpha_{120} \alpha_{o2} A_{m2} B_{mn} )\iota_{20} + (2T_{1} \iota_{1}^{2} + 4\delta_{19} \iota_{2} )(\delta_{mn} + \delta_{nm0} ) + \delta_{19} \delta_{nm0} (8\iota_{10} + 14\iota_{20} + \iota_{2}^{2} ) + 4(\Psi_{21} \Psi_{210} + \delta_{19} )\iota_{10} + 2\Psi_{o10} \hfill \\ A_{m2} B_{mn} + T_{1} \iota_{m0}^{2} + 2\delta_{19} \iota_{10} (2\iota_{20} + \delta_{10} \iota_{10} ) - 4\kappa_{m0} T_{1} \iota_{m0} + (S_{6 + } - i\Upsilon_{nm} \Upsilon_{310} - iL_{nm} \alpha_{120} )(\kappa_{1} + \iota_{1} + \iota_{2} ) - (i\Delta_{4m0} \alpha_{11} + i\Upsilon_{130} \mu_{nm} )\kappa_{1} - S_{7} (\iota_{1} + \iota_{2} ) + iL_{mn0} \alpha_{12} \iota_{1} + S_{9} \iota_{2} + (S_{6 - } + i\alpha_{220} \mu_{nm} \hfill \\ + i\alpha_{22} \mu_{mn0} - i\Upsilon_{13} \mu_{mn0} + i\Delta_{220} \Lambda_{220} \alpha_{11} + i\alpha_{o2} \alpha_{220} A_{m1} B_{mn} )\iota_{10} - i\gamma \kappa_{m0} (S_{9} + S_{11} + \mu_{nm} \Upsilon_{nm} \alpha_{o20} \Psi_{nm} ),{\text{with }}m = 1,\Lambda_{mn0} = 1;m = 2,\Delta_{mn0} = 1;n = 1,\Lambda_{mn} = 1;n = 2,\Delta_{mn} = 1;p = 2,\Upsilon_{mn0} \hfill \\ = 1;p = 1,\mu_{nm0} = 1;o = 2,\Upsilon_{nm} = 1;o = 1,\mu_{nm} = 1;T_{1} = \Psi_{11} \Psi_{220} + \Psi_{21} \Psi_{210} + \delta_{19} ,S_{1} = \Delta_{op} \Lambda_{op} \alpha_{m10} + \alpha_{o2} \Upsilon_{mn0} \mu_{nm0} ,S_{2} = \Upsilon_{3m} \alpha_{n20} + \Upsilon_{3m0} \alpha_{n2} ,S_{3} = \kappa_{1} + \iota_{m} + \iota_{10} ,S_{4} = \Upsilon_{mn0} \Upsilon_{31} + \Upsilon_{13} \mu_{mn0} \hfill \\ + L_{nm} \alpha_{120} + \alpha_{220} \nu_{nm} + \Delta_{4n} \alpha_{m10} ,S_{5} = \alpha_{n1} \alpha_{m10} \delta_{19} ,S_{6 \pm } = - i\Delta_{4m} \alpha_{m10} \mp i\alpha_{n1} \alpha_{m10} \delta_{19} - i\alpha_{220} \nu_{nm} ,S_{7} = i\Upsilon_{mn0} \Upsilon_{31} + i\Upsilon_{13} \mu_{mn0} ,S_{8} = \iota_{1} + \iota_{2} + \iota_{10} + \iota_{20} ,S_{9} = i\Upsilon_{13} \mu_{mn0} + i\alpha_{22} \nu_{mn0} ,S_{11} \hfill \\ = L_{nm} \alpha_{120} + i\Upsilon_{mn0} \Upsilon_{31} . \hfill \\ \end{gathered}$$
$$\begin{gathered} \delta_{18} = \frac{1}{{(\iota_{20} + \kappa_{20} + \iota_{2} + \kappa_{2} + \kappa_{1} + \kappa_{10} + \iota_{1} + \iota_{10} )^{2} }}i(\sum\limits_{m,n = 1}^{2} {} - Y_{2} )\delta_{m1} (\iota_{1} + \iota_{2} + \iota_{10} ) + i(\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} Y_{2} + \mu_{1n} \Upsilon_{130} + \Delta_{4n} \alpha_{11} )\kappa_{m0} \delta_{m1} + i\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} Y_{3} A_{o1} B_{mn} \hfill \\ (\iota_{m} + \iota_{n0} ) + i(\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} \Delta_{op} \Delta_{130} + \Theta_{mn0} \alpha_{11} + \mu_{1m} \Upsilon_{1m} \mu_{o10} \Upsilon_{o10} )\Psi_{mn} (\iota_{m} + \iota_{n0} + \kappa_{1} ) + i(\sum\limits_{\begin{subarray}{l} m,n, = 1, \\ m \ne n \end{subarray} }^{2} {} ( - \Delta_{14} \alpha_{n10} - \Delta_{1m} \Delta_{220} \Lambda_{220} - \Upsilon_{13} \mu_{n10} - \nu_{1n} L_{1n} \alpha_{o20} - \Delta_{2m} \Delta_{o10} \hfill \\ \Lambda_{o10} )\delta_{m1} \iota_{m0} - i\sum\limits_{\begin{subarray}{l} m,n, = 1, \\ m \ne n \end{subarray} }^{2} {} Y_{1} \kappa_{n0} \delta_{m1} + i\sum\limits_{\begin{subarray}{l} m,n, = 1, \\ m \ne n \end{subarray} }^{2} {} Y_{10} \kappa_{1} \delta_{m1} + i\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} (\Delta_{po0} \alpha_{11} + \Delta_{op} \alpha_{m10} + \alpha_{o2} \mu_{m10} \Upsilon_{m10} + \alpha_{o20} \mu_{1m} \Upsilon_{1m} )A_{o1} B_{mn} \kappa_{o0} + i\sum\limits_{\begin{subarray}{l} m,n, = 1, \\ m \ne n \end{subarray} }^{2} {} ( - \Delta_{mn} \Theta_{mn0} \hfill \\ - L_{11} \Upsilon_{210} - L_{n10} \Upsilon_{1n} )\iota_{m} + ( - \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} i\Upsilon_{1m} \mu_{11} \alpha_{p20} A_{o1} B_{mn} - \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} i\Psi_{mn} \mu_{1m} \Upsilon_{1m} \mu_{o10} \Upsilon_{o10} - iY_{5} + i\alpha_{22} \alpha_{210} \delta_{13} )\kappa_{m0} + [ - \sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} i\Delta_{p2} \alpha_{o10} A_{m1} B_{n1} + i \hfill \\ (Y_{4 - } - \Delta_{mn} \Theta_{op0} - \Delta_{o2} \Delta_{130} \Psi_{mn} - \Upsilon_{o10} \mu_{m10} \nu_{1o} L_{1m} )]\iota_{m0} + i(\sum\limits_{\begin{subarray}{l} m,n,o,p = 1, \\ m \ne o,n \ne p \end{subarray} }^{2} {} \Upsilon_{m10} \mu_{m10} \alpha_{p2} A_{o1} B_{mn} + Y_{5} + \Delta_{210} \alpha_{11} + \Delta_{2o} \Theta_{m10} + \Delta_{1m} \Theta_{o20} + Y_{4 + } )\kappa_{1} + i(Y_{4 - } - L_{12} \Upsilon_{110} - \hfill \\ \mu_{m10} \nu_{1o} )(\iota_{1} + \iota_{2} ),{\text{with }}m = 1,\Delta_{n20} = \Upsilon_{mn} = \Delta_{2n0} = 1,m = 2,\Lambda_{n20} = \mu_{mn} = \Lambda_{2n0} = 1;n = 1,\Upsilon_{mn0} = 1,n = 2,\mu_{mn0} = 1;Y_{1} = L_{1n} \alpha_{120} + \Upsilon_{310} \Upsilon_{1n} + \mu_{1n} \Upsilon_{130} + \alpha_{220} \nu_{1n} ,Y_{2} = \Delta_{14} \alpha_{n10} \hfill \\ + \Upsilon_{31} \Upsilon_{n10} + \mu_{n10} \Upsilon_{13} + \Upsilon_{310} \Upsilon_{1n} + L_{n10} \alpha_{12} + L_{1n} \alpha_{120} + \Delta_{mn} \Lambda_{po0} \Delta_{po0} + \alpha_{220} \nu_{1n} + \alpha_{22} \nu_{n10} ,Y_{3} = \Delta_{op} \alpha_{m10} + \Delta_{po0} \alpha_{11} + \mu_{m10} \Upsilon_{m10} \alpha_{o2} + \mu_{1m} \Upsilon_{1m} \alpha_{p20} ,Y_{4 \pm } = \Delta_{130} \delta_{19} \hfill \\ \alpha_{11} \pm \Delta_{14} \Delta_{130} ,Y_{5} = \mu_{1m} \nu_{o10} + \mu_{m10} \nu_{1o} + L_{1m} \Upsilon_{o10} + L_{m10} \Upsilon_{1o} . \hfill \\ \end{gathered}$$
