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

DOI10.1016/J.CHAOS.2017.11.021zbMath1392.37054OpenAlexW2771413185MaRDI QIDQ722986

S. M. Hoseini, S. Eskandar

Publication date: 30 July 2018

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.11.021

zbMATH Keywords

partial differential equationssoliton perturbation theoryhigher-order Schrödinger equationlinearization operatorsquared eigenfunctions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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Cites Work

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• Perturbation theory for the modified nonlinear Schrödinger solitons
• Weak interaction for higher-order nonlinear Schrödinger equation: an application of soliton perturbation
• Soliton perturbation theory for a higher order Hirota equation
• Complete eigenfunctions of linearized integrable equations expanded around a soliton solution
• Nonlinear Waves in Integrable and Nonintegrable Systems
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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