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Soliton perturbation theory for a higher order Hirota equation

Author

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  • Hoseini, S.M.
  • Marchant, T.R.

Abstract

Solitary wave evolution for a higher order Hirota equation is examined. For the higher order Hirota equation resonance between the solitary waves and linear radiation causes radiation loss. Soliton perturbation theory is used to determine the details of the evolving wave and its tail. An analytical expression for the solitary wave tail is derived and compared to numerical solutions. An excellent comparison between numerical and theoretical solutions is obtained for both right- and left-moving waves. Also, a two-parameter family of higher order asymptotic embedded solitons is identified.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:80:y:2009:i:4:p:770-778
    DOI: 10.1016/j.matcom.2009.08.012
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    Cited by:

    1. 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.
    2. Flores-Calderón, R. & Fujioka, J. & Espinosa-Cerón, A., 2021. "Soliton dynamics of a high-density Bose-Einstein condensate subject to a time varying anharmonic trap," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    3. Sugati, Taghreed G. & Seadawy, Aly R. & Alharbey, R.A. & Albarakati, W., 2022. "Nonlinear physical complex hirota dynamical system: Construction of chirp free optical dromions and numerical wave solutions," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

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