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Erschienen in: Optical and Quantum Electronics 9/2018

01.09.2018

Dynamism of two-mode’s parameters on the field function for third-order dispersive Fisher: application for fibre optics

verfasst von: Marwan Alquran, Ola Yassin

Erschienen in: Optical and Quantum Electronics | Ausgabe 9/2018

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Abstract

Two-mode equations model the spread of two different wave modes simultaneously. A new two-mode dispersive Fisher of third order (TMDF) is proposed and different types of solutions are obtained. We studied the effect of TMDF’s factors (dispersive, nonlinearity and the phase velocity) on the behavior of the obtained field function. We believe that our findings can be useful for investigating further analysis in fibre optics and engineering applications.

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Literatur
Zurück zum Zitat Alquran, M., Qawasmeh, A.: Soliton solutions of shallow water wave equations by means of \((G^{\prime }/G)\)-expansion method. J. Appl. Anal. Comput. 4(3), 221–229 (2014)MathSciNetMATH Alquran, M., Qawasmeh, A.: Soliton solutions of shallow water wave equations by means of \((G^{\prime }/G)\)-expansion method. J. Appl. Anal. Comput. 4(3), 221–229 (2014)MathSciNetMATH
Zurück zum Zitat Alquran, M., Jaradat, H.M., Syam, M.: A modified approach for a reliable study of new nonlinear equation: two-mode Korteweg–de Vries–Burgers equation. Nonlinear Dyn. 91(3), 1619–1626 (2018)CrossRef Alquran, M., Jaradat, H.M., Syam, M.: A modified approach for a reliable study of new nonlinear equation: two-mode Korteweg–de Vries–Burgers equation. Nonlinear Dyn. 91(3), 1619–1626 (2018)CrossRef
Zurück zum Zitat Hong, W.P., Jung, Y.D.: New non-traveling solitary wave solutions for a second-order Korteweg–de Vries equation. Z. Naturforsch. 54, 375–378 (1999)ADS Hong, W.P., Jung, Y.D.: New non-traveling solitary wave solutions for a second-order Korteweg–de Vries equation. Z. Naturforsch. 54, 375–378 (1999)ADS
Zurück zum Zitat Jaradat, A., Noorani, M.S.M., Alquran, A., Jaradat, H.M.: Construction and solitary wave solutions of two-mode higher-order Boussinesq–Burger system. Adv. Differ. Equ. 2017, 376 (2017a)MathSciNetCrossRef Jaradat, A., Noorani, M.S.M., Alquran, A., Jaradat, H.M.: Construction and solitary wave solutions of two-mode higher-order Boussinesq–Burger system. Adv. Differ. Equ. 2017, 376 (2017a)MathSciNetCrossRef
Zurück zum Zitat Jaradat, H.M., Syam, M., Alquran, M.: A two-mode coupled Korteweg–de Vries: multiple-soliton solutions and other exact solutions. Nonlinear Dyn. 90(1), 371–377 (2017b)MathSciNetCrossRef Jaradat, H.M., Syam, M., Alquran, M.: A two-mode coupled Korteweg–de Vries: multiple-soliton solutions and other exact solutions. Nonlinear Dyn. 90(1), 371–377 (2017b)MathSciNetCrossRef
Zurück zum Zitat Jaradat, I., Alquran, M., Ali, M.: A numerical study on weak-dissipative two-mode perturbed Burgers and Ostrovsky models: right–left moving waves. Eur. Phys. J. Plus 133, 164 (2018)CrossRef Jaradat, I., Alquran, M., Ali, M.: A numerical study on weak-dissipative two-mode perturbed Burgers and Ostrovsky models: right–left moving waves. Eur. Phys. J. Plus 133, 164 (2018)CrossRef
Zurück zum Zitat Katatbeh, Q., Abu-Irwaq, I., Alquran, M., Qawasmeh, A.: Solitary wave solutions to time-fractional coupled degenerate Hamiltonian equations. Int. J. Pure Appl. Math. 93(3), 377–387 (2014)CrossRef Katatbeh, Q., Abu-Irwaq, I., Alquran, M., Qawasmeh, A.: Solitary wave solutions to time-fractional coupled degenerate Hamiltonian equations. Int. J. Pure Appl. Math. 93(3), 377–387 (2014)CrossRef
Zurück zum Zitat Lee, C.T., Lee, C.C.: On wave solutions of a weakly nonlinear and weakly dispersive two-mode wave system. Waves Random Complex Med. 23, 56–76 (2013)ADSMathSciNetCrossRef Lee, C.T., Lee, C.C.: On wave solutions of a weakly nonlinear and weakly dispersive two-mode wave system. Waves Random Complex Med. 23, 56–76 (2013)ADSMathSciNetCrossRef
Zurück zum Zitat Lee, C.T., Liu, J.L.: A Hamiltonian model and soliton phenomenon for a two-mode KdV equation. Rocky Mt. J. Math. 41(4), 1273–1289 (2011)MathSciNetCrossRef Lee, C.T., Liu, J.L.: A Hamiltonian model and soliton phenomenon for a two-mode KdV equation. Rocky Mt. J. Math. 41(4), 1273–1289 (2011)MathSciNetCrossRef
Zurück zum Zitat Lee, C.C., Lee, C.T., Liu, J.L., Huang, W.Y.: Quasi-solitons of the two-mode Korteweg–de Vries equation. Eur. Phys. J. Appl. Phys. 52, 11301 (2010)ADSCrossRef Lee, C.C., Lee, C.T., Liu, J.L., Huang, W.Y.: Quasi-solitons of the two-mode Korteweg–de Vries equation. Eur. Phys. J. Appl. Phys. 52, 11301 (2010)ADSCrossRef
Zurück zum Zitat Qawasmeh, A., Alquran, M.: Reliable study of some new fifth-order nonlinear equations by means of \((G^{\prime }/G)\)-expansion method and rational sine-cosine method. Appl. Math. Sci. 8(120), 5985–5994 (2014a) Qawasmeh, A., Alquran, M.: Reliable study of some new fifth-order nonlinear equations by means of \((G^{\prime }/G)\)-expansion method and rational sine-cosine method. Appl. Math. Sci. 8(120), 5985–5994 (2014a)
Zurück zum Zitat Qawasmeh, A., Alquran, M.: Soliton and periodic solutions for \((2+1)\)-dimensional dispersive long water-wave system. Appl. Math. Sci. 8(50), 2455–2463 (2014b)MathSciNet Qawasmeh, A., Alquran, M.: Soliton and periodic solutions for \((2+1)\)-dimensional dispersive long water-wave system. Appl. Math. Sci. 8(50), 2455–2463 (2014b)MathSciNet
Zurück zum Zitat Syam, M., Jaradat, H.M., Alquran, M.: A study on the two-mode coupled modified Korteweg–de Vries using the simplified bilinear and the trigonometric-function methods. Nonlinear Dyn. 90(2), 1363–1371 (2017)MathSciNetCrossRef Syam, M., Jaradat, H.M., Alquran, M.: A study on the two-mode coupled modified Korteweg–de Vries using the simplified bilinear and the trigonometric-function methods. Nonlinear Dyn. 90(2), 1363–1371 (2017)MathSciNetCrossRef
Zurück zum Zitat Wazwaz, A.M.: Multiple soliton solutions and other exact solutions for a two-mode KdV equation. Math. Methods Appl. Sci. 40(6), 1277–1283 (2017a)MathSciNet Wazwaz, A.M.: Multiple soliton solutions and other exact solutions for a two-mode KdV equation. Math. Methods Appl. Sci. 40(6), 1277–1283 (2017a)MathSciNet
Zurück zum Zitat Xiao, Z.J., Tian, B., Zhen, H.L., Chai, J., Wu, X.Y.: Multi-soliton solutions and Bucklund transformation for a two-mode KdV equation in a fluid. Waves Random Complex Med. 31(6), 1–4 (2016)MATH Xiao, Z.J., Tian, B., Zhen, H.L., Chai, J., Wu, X.Y.: Multi-soliton solutions and Bucklund transformation for a two-mode KdV equation in a fluid. Waves Random Complex Med. 31(6), 1–4 (2016)MATH
Zurück zum Zitat Yan, Z.: Generalized method and its application in the higher-order nonlinear Schrodinger equation in nonlinear optical fibres. Chaos Solitons Fractals 16, 759–766 (2003)ADSMathSciNetCrossRef Yan, Z.: Generalized method and its application in the higher-order nonlinear Schrodinger equation in nonlinear optical fibres. Chaos Solitons Fractals 16, 759–766 (2003)ADSMathSciNetCrossRef
Zurück zum Zitat Yan, Z.: Envelope compactons and solitary patterns. Phys. Lett. A 355(3), 212–215 (2006)ADSCrossRef Yan, Z.: Envelope compactons and solitary patterns. Phys. Lett. A 355(3), 212–215 (2006)ADSCrossRef
Zurück zum Zitat Yan, Z.: The new tri-function method to multiple exact solutions of nonlinear wave equations. Phys. Scr. 78(3), 035001 (2008)ADSMathSciNetCrossRef Yan, Z.: The new tri-function method to multiple exact solutions of nonlinear wave equations. Phys. Scr. 78(3), 035001 (2008)ADSMathSciNetCrossRef
Zurück zum Zitat Yan, Z.: Localized analytical solutions and parameters analysis in the nonlinear dispersive Gross–Pitaevskii mean-field GP(m, n) model with space-modulated nonlinearity and potential. Stud. Appl. Math. 132(3), 266–284 (2014)MathSciNetCrossRef Yan, Z.: Localized analytical solutions and parameters analysis in the nonlinear dispersive Gross–Pitaevskii mean-field GP(m, n) model with space-modulated nonlinearity and potential. Stud. Appl. Math. 132(3), 266–284 (2014)MathSciNetCrossRef
Zurück zum Zitat Yan, Z., Konotop, V.V.: Exact solutions to three-dimensional generalized nonlinear Schrödinger equations with varying potential and nonlinearities. Phys. Rev. E 80, 036607 (2009)ADSCrossRef Yan, Z., Konotop, V.V.: Exact solutions to three-dimensional generalized nonlinear Schrödinger equations with varying potential and nonlinearities. Phys. Rev. E 80, 036607 (2009)ADSCrossRef
Zurück zum Zitat Yassin, O., Alquran, M.: Constructing new solutions for some types of two-mode nonlinear equations. Appl. Math. Inf. Sci. 12(2), 361–367 (2018)MathSciNetCrossRef Yassin, O., Alquran, M.: Constructing new solutions for some types of two-mode nonlinear equations. Appl. Math. Inf. Sci. 12(2), 361–367 (2018)MathSciNetCrossRef
Zurück zum Zitat Zhu, Z., Huang, H.C., Xue, W.M.: Solitary wave solutions having two wave modes of KdV-type and KdV–Burgers-type. Chin. J. Phys. 35(6), 633–639 (1997)MathSciNet Zhu, Z., Huang, H.C., Xue, W.M.: Solitary wave solutions having two wave modes of KdV-type and KdV–Burgers-type. Chin. J. Phys. 35(6), 633–639 (1997)MathSciNet
Metadaten
Titel
Dynamism of two-mode’s parameters on the field function for third-order dispersive Fisher: application for fibre optics
verfasst von
Marwan Alquran
Ola Yassin
Publikationsdatum
01.09.2018
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 9/2018
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-018-1621-y

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