Propagation of periodic and solitary waves in a highly dispersive cubic-quintic medium with self-frequency shift and self-steepening nonlinearity

DOI10.1016/j.chaos.2022.112704OpenAlexW4297172685MaRDI QIDQ2680087

Houria Triki, Vladimir I. Kruglov

Publication date: 26 January 2023

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

Full work available at URL: https://arxiv.org/abs/2205.10975

zbMATH Keywords

Lyapunov criteriaperiodic and solitary waveshighly dispersive cubic-quintic medium with self-frequency shift and self-steepening nonlinearitynumerical split-step Fourier method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite difference methods applied to problems in solid mechanics (74S20) Solitary waves in solid mechanics (74J35) Soliton solutions (35C08)

Related Items (1)

Numerical study of the model described by the fourth order generalized nonlinear Schrödinger equation with cubic-quintic-septic-nonic nonlinearity

Cites Work

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• Bright solitary waves in high dispersive media with parabolic nonlinearity law: The influence of third order dispersion

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