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Erschienen in: Optical and Quantum Electronics 2/2023

01.02.2023

New diverse soliton solutions for the coupled Konno-Oono equations

verfasst von: Emad H. M. Zahran, Ahmet Bekir

Erschienen in: Optical and Quantum Electronics | Ausgabe 2/2023

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Abstract

The main aim of this article is to establish new impressive diverse soliton solutions to the nonlinear Coupled Konno-Oono Model (NCKOM) that represents current-field string interact with an external magnetic field. The achieved soliton solutions will give stretch study for this model and all related phenomena’s. Three different schemes have been called for this purpose. The first one is the extended direct algebraic method (EDAM), while the second is the Paul-Painlevé approach method (PPAM) and the third one is the Riccati-Bernoulli Sub-ODE method (RBSODM). Brief comparisons between our results and that achieved previously have been listed.

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Literatur
Zurück zum Zitat Abdelrahman, M.A.E., Alkhidhr, H.A.: Fundamental solutions for the new coupled Konno-Oono equation in magnetic field. Results Phys. 19, 103445 (2020)CrossRef Abdelrahman, M.A.E., Alkhidhr, H.A.: Fundamental solutions for the new coupled Konno-Oono equation in magnetic field. Results Phys. 19, 103445 (2020)CrossRef
Zurück zum Zitat Alam, M.N., Belgacem, F.B.M.: New generalized (G′/G)-expansion method applications to coupled konno-oono equation. Adv. Pure Math. 6, 168–179 (2016)CrossRef Alam, M.N., Belgacem, F.B.M.: New generalized (G′/G)-expansion method applications to coupled konno-oono equation. Adv. Pure Math. 6, 168–179 (2016)CrossRef
Zurück zum Zitat Bekir, A., Zahran, E.H.M.: Painleve approach and its applications to get new exact solutions of three biological models instead of its numerical solutions. Int. J. Mod. Phys. B. 34(29), 2050270 (2020)ADSMathSciNetCrossRefMATH Bekir, A., Zahran, E.H.M.: Painleve approach and its applications to get new exact solutions of three biological models instead of its numerical solutions. Int. J. Mod. Phys. B. 34(29), 2050270 (2020)ADSMathSciNetCrossRefMATH
Zurück zum Zitat Bekir, A., Zahran, E.H.M.: Optical soliton solutions of the thin-film ferro-electric materials equation according to the Painlevé approach. Opt. Quant. Electron. 53, 118 (2021)CrossRef Bekir, A., Zahran, E.H.M.: Optical soliton solutions of the thin-film ferro-electric materials equation according to the Painlevé approach. Opt. Quant. Electron. 53, 118 (2021)CrossRef
Zurück zum Zitat Bekir, A., Zahran, E.H.M.: Three distinct and impressive visions for the soliton solutions to the higher-order nonlinear Schrodinger equation. Optik – Int. J. Light Electron Opt. 228, 166157 (2021)CrossRef Bekir, A., Zahran, E.H.M.: Three distinct and impressive visions for the soliton solutions to the higher-order nonlinear Schrodinger equation. Optik – Int. J. Light Electron Opt. 228, 166157 (2021)CrossRef
Zurück zum Zitat Bekir, A., Zahran, E.H.M.: New visions of the soliton solutions to the modified nonlinear Schrodinger equation. Optik. 232, 166539 (2021)ADSCrossRef Bekir, A., Zahran, E.H.M.: New visions of the soliton solutions to the modified nonlinear Schrodinger equation. Optik. 232, 166539 (2021)ADSCrossRef
Zurück zum Zitat Bekir, A., Zahran, E.H.M.: New multiple-different impressive perceptions for the solitary solution to the magneto-optic waveguides with anti-cubic nonlinearity. Optik – Int. J. Light Electron Opt. 240, 166939 (2021)CrossRef Bekir, A., Zahran, E.H.M.: New multiple-different impressive perceptions for the solitary solution to the magneto-optic waveguides with anti-cubic nonlinearity. Optik – Int. J. Light Electron Opt. 240, 166939 (2021)CrossRef
Zurück zum Zitat Bekir, A., Zahran, E.H.M.: Exact and numerical solutions for the Nano-Soliton of Ionic Wave propagating through microtubules in living cells. Pramana J. Phys. 95, 158 (2021)ADSCrossRef Bekir, A., Zahran, E.H.M.: Exact and numerical solutions for the Nano-Soliton of Ionic Wave propagating through microtubules in living cells. Pramana J. Phys. 95, 158 (2021)ADSCrossRef
Zurück zum Zitat Bekir, A., Zahran, E.H.M.: New vision for the soliton solutions to the complex Hirota-dynamical model. Phys. Scr. 96, 318949 (2021)CrossRef Bekir, A., Zahran, E.H.M.: New vision for the soliton solutions to the complex Hirota-dynamical model. Phys. Scr. 96, 318949 (2021)CrossRef
Zurück zum Zitat Bekir, A., Zahran, E.H.M.: Nonlinear dynamical wave structures to the Zoomeron equation for population models. Chin. Phys. B. 31, 060401 (2022)ADSCrossRef Bekir, A., Zahran, E.H.M.: Nonlinear dynamical wave structures to the Zoomeron equation for population models. Chin. Phys. B. 31, 060401 (2022)ADSCrossRef
Zurück zum Zitat Bekir, A., Shehata, M.S.M., Zahran, E.H.M.: Comparison between the exact solutions of three distinct shallow water equations using the painlev´e approach and its numerical solutions. Russian J. Nonlinear Dyn. 16(3), 463–477 (2020a)MathSciNetMATH Bekir, A., Shehata, M.S.M., Zahran, E.H.M.: Comparison between the exact solutions of three distinct shallow water equations using the painlev´e approach and its numerical solutions. Russian J. Nonlinear Dyn. 16(3), 463–477 (2020a)MathSciNetMATH
Zurück zum Zitat Bekir, A., Zahran, E.H.M., Güner, Ö.: Soliton solutions of the (3+1)-dimentional Yu- Toda-Sassa-Fukuyama equation by the new approach and its numerical solutions. Int. J. Mod. Phys. B 35(2), 2150025 (2020)ADSCrossRefMATH Bekir, A., Zahran, E.H.M., Güner, Ö.: Soliton solutions of the (3+1)-dimentional Yu- Toda-Sassa-Fukuyama equation by the new approach and its numerical solutions. Int. J. Mod. Phys. B 35(2), 2150025 (2020)ADSCrossRefMATH
Zurück zum Zitat Bekir, A., Zahran, E.H.M., Hijaz, A.: A variety of exact solutions of the (2+1)-dimensional modified Zakharov-Kuznetsov equation. Mod. Phys. Lett. B 35(33), 2150509 (2021a)MathSciNetCrossRef Bekir, A., Zahran, E.H.M., Hijaz, A.: A variety of exact solutions of the (2+1)-dimensional modified Zakharov-Kuznetsov equation. Mod. Phys. Lett. B 35(33), 2150509 (2021a)MathSciNetCrossRef
Zurück zum Zitat Bekir, A., Shehata, M.S.M., Zahran, E.H.M.: New perception of the exact solutions of the 3D-Fractional Wazwaz-Benjamin-Bona-Mahony (3D-FWBBM) equation. J. Interdiscip. Math. 24(4), 867–880 (2021b)CrossRef Bekir, A., Shehata, M.S.M., Zahran, E.H.M.: New perception of the exact solutions of the 3D-Fractional Wazwaz-Benjamin-Bona-Mahony (3D-FWBBM) equation. J. Interdiscip. Math. 24(4), 867–880 (2021b)CrossRef
Zurück zum Zitat Bekir, A., Zahran, E.H.M., Davodi, A.G.: Impressive and accurate solutions to the generalized Fokas-Lenells model. Rev. Mex. Fsi. 68, 020701 (2022) Bekir, A., Zahran, E.H.M., Davodi, A.G.: Impressive and accurate solutions to the generalized Fokas-Lenells model. Rev. Mex. Fsi. 68, 020701 (2022)
Zurück zum Zitat Bekir, A., Cevikel, A., Zahran, E.H.M.: (2022b), Novel exact and solitary solutions of conformable Huxley equation with three effective methods, accepted for publication in Ocean Engineering Journal, (in press) Bekir, A., Cevikel, A., Zahran, E.H.M.: (2022b), Novel exact and solitary solutions of conformable Huxley equation with three effective methods, accepted for publication in Ocean Engineering Journal, (in press)
Zurück zum Zitat Hosseini, K., Osman, M.S., Mirzazadeh, M., Rabiei, F.: Investigation of different wave structures to the generalized third-order nonlinear Schrödinger equation. Optik 206, 164259 (2020)ADSCrossRef Hosseini, K., Osman, M.S., Mirzazadeh, M., Rabiei, F.: Investigation of different wave structures to the generalized third-order nonlinear Schrödinger equation. Optik 206, 164259 (2020)ADSCrossRef
Zurück zum Zitat Konno, K., Kakuhata, H.: Novel solitonic evolutions in a coupled integrable, dispersionless system. J. Phys. Soc. Jpn. 65, 713–721 (1996)ADSCrossRefMATH Konno, K., Kakuhata, H.: Novel solitonic evolutions in a coupled integrable, dispersionless system. J. Phys. Soc. Jpn. 65, 713–721 (1996)ADSCrossRefMATH
Zurück zum Zitat Konno, K., Oono, H.: New coupled integrable dispersionless equations. J. Phys. Soc. Jpn. 63, 377–378 (1994)ADSCrossRef Konno, K., Oono, H.: New coupled integrable dispersionless equations. J. Phys. Soc. Jpn. 63, 377–378 (1994)ADSCrossRef
Zurück zum Zitat Kuo, C.-K., Ma, W.-X.: An effective approach for constructing novel KP-like equations. Waves Random Complex Media 32(2022), 629–640 (2022)ADSMathSciNetCrossRefMATH Kuo, C.-K., Ma, W.-X.: An effective approach for constructing novel KP-like equations. Waves Random Complex Media 32(2022), 629–640 (2022)ADSMathSciNetCrossRefMATH
Zurück zum Zitat Ma, W.X.: Nonlocal PT-symmetric integrable equations and related Riemann-Hilbert problems. Partial Differ. Eq. Appl. Math. 4, 100190 (2021)CrossRef Ma, W.X.: Nonlocal PT-symmetric integrable equations and related Riemann-Hilbert problems. Partial Differ. Eq. Appl. Math. 4, 100190 (2021)CrossRef
Zurück zum Zitat Ma, W.: Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies. Acta Mathematica Scientia 42(1), 127–140 (2021)MathSciNetCrossRefMATH Ma, W.: Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies. Acta Mathematica Scientia 42(1), 127–140 (2021)MathSciNetCrossRefMATH
Zurück zum Zitat Ma, W.-X.: Soliton solutions by means of Hirota bilinear forms. Partial Differ. Equ. Appl. Math 5, 100220 (2022a)CrossRef Ma, W.-X.: Soliton solutions by means of Hirota bilinear forms. Partial Differ. Equ. Appl. Math 5, 100220 (2022a)CrossRef
Zurück zum Zitat Ma, W.-X.: Reduced nonlocal integrable mKdV-equations of type (−λ, λ) and their exact soliton solutions;Commun. Theor. Phys. 74, 065002 (2022b)ADS Ma, W.-X.: Reduced nonlocal integrable mKdV-equations of type (−λ, λ) and their exact soliton solutions;Commun. Theor. Phys. 74, 065002 (2022b)ADS
Zurück zum Zitat Mirhosseini-Alizamani, S.M., Rezazadeh, H., Srinivasa, K., Bekir, A.: New closed form solutions of the new coupled Konno-Oono equation using the new extended direct algebraic method. Pramana J. Phys. 94, 52 (2020)ADSCrossRef Mirhosseini-Alizamani, S.M., Rezazadeh, H., Srinivasa, K., Bekir, A.: New closed form solutions of the new coupled Konno-Oono equation using the new extended direct algebraic method. Pramana J. Phys. 94, 52 (2020)ADSCrossRef
Zurück zum Zitat Seadawy, A.R.: Three-dimensional nonlinear modified Zakharov-Kuznetsov equation of ion-acoustic waves in magnetized plasma. Comput. Math. Appl. 71, 201–212 (2016)MathSciNetCrossRefMATH Seadawy, A.R.: Three-dimensional nonlinear modified Zakharov-Kuznetsov equation of ion-acoustic waves in magnetized plasma. Comput. Math. Appl. 71, 201–212 (2016)MathSciNetCrossRefMATH
Zurück zum Zitat Shehata, M.S.M., Rezazadeh, H., Zahran, E.H.M., Tala-Tebue, E., Bekir, A.: New optical soliton solutions of the perturbed fokas-lenells equation. Commun. Theor. Phys. 71, 1275–1280 (2019)ADSMathSciNetCrossRefMATH Shehata, M.S.M., Rezazadeh, H., Zahran, E.H.M., Tala-Tebue, E., Bekir, A.: New optical soliton solutions of the perturbed fokas-lenells equation. Commun. Theor. Phys. 71, 1275–1280 (2019)ADSMathSciNetCrossRefMATH
Zurück zum Zitat Shehata, M.S.M., Rezazadeh, H., Jawad, A.J.M., Zahran, E.H.M., Bekir, A.: Optical solitons to a perturbed Gerdjikov-Ivanov equation using two different techniques. Revista Mexicana De Física 67(5), 050704 (2022) Shehata, M.S.M., Rezazadeh, H., Jawad, A.J.M., Zahran, E.H.M., Bekir, A.: Optical solitons to a perturbed Gerdjikov-Ivanov equation using two different techniques. Revista Mexicana De Física 67(5), 050704 (2022)
Zurück zum Zitat Souleymanou, A., Kuetche, V.K., Bouetou, T.B., Kofane, T.C.: Traveling wave-guide channels of a new coupled integrable dispersionless system. Commun. Theor. Phys. 57, 10–14 (2012)CrossRefMATH Souleymanou, A., Kuetche, V.K., Bouetou, T.B., Kofane, T.C.: Traveling wave-guide channels of a new coupled integrable dispersionless system. Commun. Theor. Phys. 57, 10–14 (2012)CrossRefMATH
Zurück zum Zitat Taghizadeh, N., Mirzazadeh, M., Tascan, F.: The first-integral method applied to the Eckhaus equation. Appl. Math. Lett. 25(5), 798–802 (2012)MathSciNetCrossRefMATH Taghizadeh, N., Mirzazadeh, M., Tascan, F.: The first-integral method applied to the Eckhaus equation. Appl. Math. Lett. 25(5), 798–802 (2012)MathSciNetCrossRefMATH
Zurück zum Zitat Wang, K.J.: Abundant analytical solutions to the new coupled Konno-Oono equation arising in magnetic field. Results Phys. 31, 104931 (2021)CrossRef Wang, K.J.: Abundant analytical solutions to the new coupled Konno-Oono equation arising in magnetic field. Results Phys. 31, 104931 (2021)CrossRef
Zurück zum Zitat Yel, G.L., Baskonus, H.M., Bulut, H.: Novel archetypes of new coupled Konno-Oono equation by using sine–Gordon expansion method. Opt. Quant. Electron 49, 285 (2017)CrossRef Yel, G.L., Baskonus, H.M., Bulut, H.: Novel archetypes of new coupled Konno-Oono equation by using sine–Gordon expansion method. Opt. Quant. Electron 49, 285 (2017)CrossRef
Zurück zum Zitat Younis, M., Sulaiman, T.A., Bilal, M., Rehman, S.U., Younas, U.: Modulation instability analysis optical and other solutions to the modified nonlinear Schrödinger equation. Commun. Theor. Phys. 72, 065001 (2020)ADSCrossRefMATH Younis, M., Sulaiman, T.A., Bilal, M., Rehman, S.U., Younas, U.: Modulation instability analysis optical and other solutions to the modified nonlinear Schrödinger equation. Commun. Theor. Phys. 72, 065001 (2020)ADSCrossRefMATH
Zurück zum Zitat Zahran, E.H.M., Bekir, A.: New private types for the cubic-quartic optical solitons in birefringent fibers in its four forms of nonlinear refractive index. Opt. Quant. Electron. 53, 680 (2021)CrossRef Zahran, E.H.M., Bekir, A.: New private types for the cubic-quartic optical solitons in birefringent fibers in its four forms of nonlinear refractive index. Opt. Quant. Electron. 53, 680 (2021)CrossRef
Zurück zum Zitat Zahran, E.H.M., Bekir, A.: New unexpected behavior to the soliton arising from the geophysical Korteweg-de Vries equation. Mod. Phys. Lett. B 36(8), 2150623 (2022)ADSMathSciNetCrossRef Zahran, E.H.M., Bekir, A.: New unexpected behavior to the soliton arising from the geophysical Korteweg-de Vries equation. Mod. Phys. Lett. B 36(8), 2150623 (2022)ADSMathSciNetCrossRef
Zurück zum Zitat Zahran, E.H.M., Bekir, A., Alotaibi, M.F., Omri, M., Hijaz, A.: New impressive behavior of the exact solutions to the Benjamin-Bona-Mahony-Burgers equation with dual power-law nonlinearity against its numerical solution. Results Phys. 29, 104730 (2021a)CrossRef Zahran, E.H.M., Bekir, A., Alotaibi, M.F., Omri, M., Hijaz, A.: New impressive behavior of the exact solutions to the Benjamin-Bona-Mahony-Burgers equation with dual power-law nonlinearity against its numerical solution. Results Phys. 29, 104730 (2021a)CrossRef
Zurück zum Zitat Zahran, E.H.M., Alizamini, S.M., Shehata, M.S.M., Rezazadeh, H., Ahmad, H.: Study on abundant explicit wave solutions of the thin-film Ferro-electric materials equation. Opt. Quant. Electron. 54, 48 (2021b)CrossRef Zahran, E.H.M., Alizamini, S.M., Shehata, M.S.M., Rezazadeh, H., Ahmad, H.: Study on abundant explicit wave solutions of the thin-film Ferro-electric materials equation. Opt. Quant. Electron. 54, 48 (2021b)CrossRef
Zurück zum Zitat Zahran, E.H.M., Hijaz, A., Askar, S., Botmart, T., Shehata, M.S.M.: Dark-soliton behaviors arising from a coupled nonlinear Schrödinger system. Results Phys. 36, 105459 (2022a)CrossRef Zahran, E.H.M., Hijaz, A., Askar, S., Botmart, T., Shehata, M.S.M.: Dark-soliton behaviors arising from a coupled nonlinear Schrödinger system. Results Phys. 36, 105459 (2022a)CrossRef
Zurück zum Zitat Zahran, E.H.M., Hijaz, A., Saeed, T., Botmart, T.: New diverse variety for the exact solutions to Keller-Segel- Fisher system. Results Phys. 35, 105320 (2022b)CrossRef Zahran, E.H.M., Hijaz, A., Saeed, T., Botmart, T.: New diverse variety for the exact solutions to Keller-Segel- Fisher system. Results Phys. 35, 105320 (2022b)CrossRef
Metadaten
Titel
New diverse soliton solutions for the coupled Konno-Oono equations
verfasst von
Emad H. M. Zahran
Ahmet Bekir
Publikationsdatum
01.02.2023
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 2/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-022-04376-2

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