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Kinky breathers, W-shaped and multi-peak soliton interactions for Kudryashov's quintuple power-law coupled with dual form of non-local refractive index structure

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  • Ekici, Mehmet

Abstract

This paper addresses interaction of multi–wave solutions of the model having Kudryashov's quintuple form coupled with dual form of nonlocal law of refractive index. These waves are kinky breathers, W–shaped and multi–peaked solitons. The analytical results are supplemented with numerical simulations of the obtained solutions.

Suggested Citation

  • Ekici, Mehmet, 2022. "Kinky breathers, W-shaped and multi-peak soliton interactions for Kudryashov's quintuple power-law coupled with dual form of non-local refractive index structure," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003824
    DOI: 10.1016/j.chaos.2022.112172
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    References listed on IDEAS

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    1. Kudryashov, Nikolay A., 2020. "Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    2. Yan, Zhenya & Chow, K.W. & Malomed, Boris A., 2009. "Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross–Pitaevskii equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3013-3019.
    3. Ekici, Mehmet & Sonmezoglu, Abdullah & Biswas, Anjan, 2021. "Stationary optical solitons with Kudryashov’s laws of refractive index," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    4. Susanto, Hadi & Malomed, Boris A., 2021. "Embedded solitons in second-harmonic-generating lattices," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    5. Qiu, Yunli & Malomed, Boris A. & Mihalache, Dumitru & Zhu, Xing & Zhang, Li & He, Yingji, 2020. "Soliton dynamics in a fractional complex Ginzburg-Landau model," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    6. Zayed, Elsayed M.E. & Alngar, Mohamed E.M. & Biswas, Anjan & Asma, Mir & Ekici, Mehmet & Alzahrani, Abdullah K. & Belic, Milivoj R., 2020. "Optical solitons and conservation laws with generalized Kudryashov’s law of refractive index," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
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    Cited by:

    1. Hu, Xiang & Yin, Zhixiang, 2022. "A study of the pulse propagation with a generalized Kudryashov equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. 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.

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