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Optical solitons and conservation laws with generalized Kudryashov’s law of refractive index

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  • Zayed, Elsayed M.E.
  • Alngar, Mohamed E.M.
  • Biswas, Anjan
  • Asma, Mir
  • Ekici, Mehmet
  • Alzahrani, Abdullah K.
  • Belic, Milivoj R.

Abstract

This paper addresses the newly proposed generalized Kudryashov’s law of refractive index to obtain dark, bright and singular optical soliton solutions. Two approaches that collectively reveal such soliton solutions are extended generalized Kudryashov’s method and an addendum to Kudryashov’s approach. Finally, the conservation laws are also enumerated.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920306809
    DOI: 10.1016/j.chaos.2020.110284
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    References listed on IDEAS

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    1. Kudryashov, Nikolay A., 2020. "First integrals and general solution of the complex Ginzburg-Landau equation," Applied Mathematics and Computation, Elsevier, vol. 386(C).
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    Cited by:

    1. Elsayed M. E. Zayed & Mohamed E. M. Alngar & Reham M. A. Shohib & Anjan Biswas & Yakup Yıldırım & Salam Khan & Luminita Moraru & Simona Moldovanu & Catalina Iticescu, 2022. "Highly Dispersive Optical Solitons in Fiber Bragg Gratings with Kerr Law of Nonlinear Refractive Index," Mathematics, MDPI, vol. 10(16), pages 1-11, August.
    2. 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).
    3. Nikolay A. Kudryashov, 2021. "Implicit Solitary Waves for One of the Generalized Nonlinear Schrödinger Equations," Mathematics, MDPI, vol. 9(23), pages 1-9, November.

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