Orbital stability of solitary waves for the generalized long-short wave resonance equations with a cubic-quintic strong nonlinear term
type: Item
instance of: scholarly article
title: Orbital stability of solitary waves for the generalized long-short wave resonance equations with a cubic-quintic strong nonlinear term
zbMATH Open document ID: 1503.35216
author: Xiaoxiao Zheng
author: Huafei Di
author: Xiaoming Peng
published in: Journal of Inequalities and Applications
publication date: 2022-01-20T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7461012
zbMATH Keywords: long-short resonance wave equations
zbMATH Keywords: cubic-quintic nonlinearity
zbMATH Keywords: solitary waves
zbMATH Keywords: orbital stability
MaRDI profile type: Publication
full work available at URL: s13660-020-02505-7
OpenAlex ID: W3100172406
cites work: Explicit and exact solutions for generalized long-short wave resonance equations with strong nonlinear term
cites work: On two-dimensional packets of capillary-gravity waves
cites work: The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion
cites work: The Complete Solution of the Long‐Wave–Short‐Wave Resonance Equations
cites work: On a nonlinear Schrödinger equation arising in the theory of water waves
cites work: A General Theory for Interactions Between Short and Long Waves
cites work: Significant Interactions Between Small and Large Scale Surface Waves
cites work: Schrodinger Equations: Pointwise Convergence to the Initial Data
cites work: Well-posedness of the cauchy problem for the long wave-short wave resonance equations
cites work: Q4313421
cites work: Q4399572
cites work: Q4240699
cites work: Q5704290
cites work: Long time behavior for the weakly damped driven long-wave--short-wave resonance equations
cites work: Q5422979
cites work: The global solution of the (2+1)-dimensional long wave–short wave resonance interaction equation
cites work: The existence of a global attractor for the \((2+1)\)-dimensional long wave-short wave resonance interaction equation
cites work: Weakly compact uniform attractor for the nonautonomous long-short wave equations
cites work: Orbital stability of solitary waves of the long wave-short wave resonance equations
cites work: Stability theory of solitary waves in the presence of symmetry. I
cites work: Stability theory of solitary waves in the presence of symmetry. II
cites work: Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
cites work: Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
cites work: Orbital stability of solitary waves for the nonlinear derivative Schrödinger equation
cites work: Total Positivity and the Stability of Internal Waves in Stratified Fluids of Finite Depth
DOI: 10.1186/S13660-020-02505-7
description: scientific article; zbMATH DE number 7461012