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Soliton solutions and eigenfunctions of linearized operator for a higher-order nonlinear Schrödinger equation

Author

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  • Eskandar, S.
  • Hoseini, S.M.

Abstract

The Inverse Scattering Transform (IST) method is applied to find soliton solutions for a higher-order nonlinear Schrödinger (NLS) equation. Eigenfunctions of linearized operator which have a central role in soliton perturbation theory are explicitly found.

Suggested Citation

  • Eskandar, S. & Hoseini, S.M., 2018. "Soliton solutions and eigenfunctions of linearized operator for a higher-order nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 289-294.
    • Handle: RePEc:eee:chsofr:v:106:y:2018:i:c:p:289-294
    DOI: 10.1016/j.chaos.2017.11.021
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    References listed on IDEAS

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    1. Hoseini, S.M. & Marchant, T.R., 2009. "Soliton perturbation theory for a higher order Hirota equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 770-778.
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    Cited by:

    1. Qi, Linming & Liu, Lu & Zhao, Weiliang, 2024. "Mixed localized waves in the coupled nonlinear Schrödinger equation with higher-order effects," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Yang, Jun & Fang, Miao-Shuang & Luo, Lin & Ma, Li-Yuan, 2021. "From a generalized discrete NLS equation in discrete alpha helical proteins to the fourth-order NLS equation," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).

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