Orbital stability and dynamical behaviors of solitary waves for the Camassa-Holm equation with quartic nonlinearity
type: Item
instance of: scholarly article
title: Orbital stability and dynamical behaviors of solitary waves for the Camassa-Holm equation with quartic nonlinearity
zbMATH Open document ID: 1352.35131
author: Jiuli Yin
author: Qianqian Xing
author: Lixin Tian
published in: Chaos, Solitons and Fractals
publication date: 2016-12-21T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 6667449
zbMATH Keywords: Camassa-Holm equation
zbMATH Keywords: orbital stability of solitary waves
zbMATH Keywords: damping term controller
MaRDI profile type: Publication
full work available at URL: j.chaos.2015.03.002
OpenAlex ID: W2078001789
cites work: On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations
cites work: The Cauchy problem for the Fokas-Olver-Rosenau-Qiao equation
cites work: An integrable shallow water equation with peaked solitons
cites work: On the preservation of invariants in the simulation of solitary waves in some nonlinear dispersive equations
cites work: Exact solutions of variable coefficient nonlinear diffusion-reaction equations with a nonlinear convective term
cites work: New exact solutions for a generalized variable-coefficient KdV equation
cites work: Instability of travelling waves for weakly coupled KdV systems
cites work: Solitary wave solutions of the high-order KdV models for bi-directional water waves
cites work: Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method
cites work: Bifurcations of traveling wave solutions from KdV equation to Camassa-Holm equation
cites work: Bifurcations of travelling wave solutions in a new integrable equation with peakon and compactons
cites work: Stability of peakons
cites work: Global existence for the higher-order Camassa-Holm shallow water equation
cites work: Acoustic scattering and the extended Korteweg-de Vries hierarchy
cites work: Stability of the Camassa-Holm solitons
cites work: Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
cites work: On the Cauchy problem for the Camassa-Holm equation
cites work: Stability of negative solitary waves for an integrable modified Camassa–Holm equation
cites work: Application of the integral bifurcation method for solving modified Camassa-Holm and Degasperis-Procesi equations
cites work: On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity
cites work: Factorization technique and new exact solutions for the modified Camassa-Holm and Degasperis-Procesi equations
cites work: Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
cites work: Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation
cites work: Melnikov's method for chaos of a two-dimensional thin panel in subsonic flow with external excitation
cites work: Solitary wave and chaotic behavior of traveling wave solutions for the coupled KdV equations
cites work: Control of chaos in a three-well Duffing system
cites work: Painlevé analysis, auto-Bäcklund transformations and exact solutions for a simplified model for reacting mixtures
DOI: 10.1016/J.CHAOS.2015.03.002
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description: scientific article; zbMATH DE number 6667449