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Highly dispersive optical solitons of equation with various polynomial nonlinearity law

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  • Kudryashov, Nikolay A.

Abstract

An nonlinear sixth-order partial differential equation for description of propagation pulse with various polynomial nonlinearities is considered. Traveling wave solutions are used to obtain the system of equations for real and imaginary parts. Solitary waves are shown to be for some conditions of the parameters of the equation. Optical solitons for nonlinear differential equation with various polynomial nonlinearity law are found and demonstrated.

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  • Kudryashov, Nikolay A., 2020. "Highly dispersive optical solitons of equation with various polynomial nonlinearity law," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920305981
    DOI: 10.1016/j.chaos.2020.110202
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    References listed on IDEAS

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    1. Zayed, Elsayed M.E. & Alngar, Mohamed E.M. & Biswas, Anjan & Asma, Mir & Ekici, Mehmet & Alzahrani, Abdullah Kamis & Belic, Milivoj R., 2020. "Solitons in magneto–optic waveguides with Kudryashov’s law of refractive index," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Kudryashov, Nikolay A., 2020. "Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    3. Du, Zhong & Tian, Bo & Qu, Qi-Xing & Chai, Han-Peng & Zhao, Xue-Hui, 2020. "Vector breathers for the coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
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    Cited by:

    1. Elsayed M. E. Zayed & Khaled A. Gepreel & Mahmoud El-Horbaty & Anjan Biswas & Yakup Yıldırım & Hashim M. Alshehri, 2021. "Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms," Mathematics, MDPI, vol. 9(24), pages 1-19, December.
    2. Kudryashov, Nikolay A. & Nifontov, Daniil R., 2023. "Conservation laws and Hamiltonians of the mathematical model with unrestricted dispersion and polynomial nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    3. Nikolay A. Kudryashov, 2022. "Optical Solitons of the Generalized Nonlinear Schrödinger Equation with Kerr Nonlinearity and Dispersion of Unrestricted Order," Mathematics, MDPI, vol. 10(18), pages 1-9, September.
    4. Kumar, Vikas & Biswas, Anjan & Ekici, Mehmet & Moraru, Luminita & Alzahrani, Abdullah Khamis & Belic, Milivoj R., 2021. "Time–dependent coupled complex short pulse equation: Invariant analysis and complexitons," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    5. Oswaldo González-Gaxiola & Anjan Biswas & Yakup Yıldırım & Luminita Moraru, 2022. "Highly Dispersive Optical Solitons in Birefringent Fibers with Polynomial Law of Nonlinear Refractive Index by Laplace–Adomian Decomposition," Mathematics, MDPI, vol. 10(9), pages 1-12, May.
    6. Islam Samir & Ahmed H. Arnous & Yakup Yıldırım & Anjan Biswas & Luminita Moraru & Simona Moldovanu, 2022. "Optical Solitons with Cubic-Quintic-Septic-Nonic Nonlinearities and Quadrupled Power-Law Nonlinearity: An Observation," Mathematics, MDPI, vol. 10(21), pages 1-9, November.
    7. Anjan Biswas & Jose Vega-Guzman & Yakup Yıldırım & Luminita Moraru & Catalina Iticescu & Abdulah A. Alghamdi, 2023. "Optical Solitons for the Concatenation Model with Differential Group Delay: Undetermined Coefficients," Mathematics, MDPI, vol. 11(9), pages 1-14, April.
    8. Ekici, Mehmet & Sonmezoglu, Abdullah & Biswas, Anjan, 2021. "Stationary optical solitons with Kudryashov’s laws of refractive index," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    9. Muslum Ozisik & Aydin Secer & Mustafa Bayram & Anjan Biswas & Oswaldo González-Gaxiola & Luminita Moraru & Simona Moldovanu & Catalina Iticescu & Dorin Bibicu & Abdulah A. Alghamdi, 2023. "Retrieval of Optical Solitons with Anti-Cubic Nonlinearity," Mathematics, MDPI, vol. 11(5), pages 1-18, March.
    10. Sucu, Nuray & Ekici, Mehmet & Biswas, Anjan, 2021. "Stationary optical solitons with nonlinear chromatic dispersion and generalized temporal evolution by extended trial function approach," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    11. Kudryashov, Nikolay A., 2020. "Optical solitons of model with integrable equation for wave packet envelope," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    12. El-Nabulsi, Rami Ahmad & Anukool, Waranont, 2023. "A family of nonlinear Schrodinger equations and their solitons solutions," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    13. Rami Ahmad El-Nabulsi & Waranont Anukool, 2023. "A generalized nonlinear cubic-quartic Schrodinger equation and its implications in quantum wire," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(5), pages 1-8, May.

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