The stability of exact solitary wave solutions for simplified modified Camassa-Holm equation
type: Item
instance of: scholarly article
title: The stability of exact solitary wave solutions for simplified modified Camassa-Holm equation
zbMATH Open document ID: 1479.35681
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2022-02-16T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 37K45
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 7474630
zbMATH Keywords: solitary wave solution
zbMATH Keywords: Camassa-Holm equation
zbMATH Keywords: stability
author: Xiaohua Liu
describes a project that uses: Maple
describes a project that uses: MACSYMA
MaRDI profile type: Publication
full work available at URL: j.cnsns.2021.106224
OpenAlex ID: W4206516964
cites work: Compactons: Solitons with finite wavelength
cites work: On ground-traveling waves for the generalized Kadomtsev-Petviashvili equations
cites work: Periodic and solitary traveling wave solutions for the generalized Kadomtsev–Petviashvili equation
cites work: The Painlevé analysis of the Zakharov-Kuznetsov equation
cites work: Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA
cites work: Orbital stability of solitary waves for the compound KdV equation
cites work: Stability of solitary waves in dispersive media described by a fifth- order evolution equation
cites work: An integrable shallow water equation with peaked solitons
cites work: Characteristics and the initial value problem of a completely integrable shallow water equation
cites work: On the geometric approach to the motion of inertial mechanical systems
cites work: Stability of solitary waves for a nonlinearly dispersive equation
cites work: New peaked solitary wave solutions of the generalized Camassa-Holm equation
cites work: A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
cites work: New compacton solutions and solitary wave solutions of fully nonlinear generalized Camassa--Holm equations
cites work: Two-dimensional integrable generalization of the Camassa-Holm equation
cites work: Bifurcations of traveling wave solutions from KdV equation to Camassa-Holm equation
cites work: Stability of peakons
cites work: Stability of periodic peakons for the modified \(\mu \)-Camassa-Holm equation
cites work: Local Well-Posedness and Orbital Stability of Solitary Wave Solutions for the Generalized Camassa–Holm Equation
cites work: Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
cites work: Application of \(\frac{G^{\prime }}{G}\)-expansion method to two nonlinear evolution equations
cites work: A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order
cites work: Solitary wave solutions to the modified form of Camassa-Holm equation by means of the homotopy analysis method
cites work: Q3264374
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
DOI: 10.1016/J.CNSNS.2021.106224
description: scientific article; zbMATH DE number 7474630