Weak interaction for higher-order nonlinear Schrödinger equation: an application of soliton perturbation

DOI10.1016/j.cnsns.2016.08.023zbMath1485.35344OpenAlexW2512429648MaRDI QIDQ2005105

S. M. Hoseini, S. Eskandar

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.08.023

zbMATH Keywords

weak interactionsoliton perturbation theoryhigher-order Schrödinger equation

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 solutions (35C08)

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Cites Work

• Solitary wave interaction and evolution for a higher-order Hirota equation
• Evolution of solitary waves for a perturbed nonlinear Schrödinger equation
• A perturbation theory for soliton systems
• Interactions of solitons in nonintegrable systems: direct perturbation method and applications
• 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 analytical evolution of NLS solitons due to the numerical discretization error
• Separatrix Map Analysis for Fractal Scatterings in Weak Interactions of Solitary Waves