Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation
type: Item
instance of: scholarly article
title: Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation
zbMATH Open document ID: 1364.34066
author: Shengfu Deng
author: Boling Guo
author: Tingchun Wang
published in: Science China. Mathematics
publication date: 2011-07-01T00:00:00Z
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 5916796
zbMATH Keywords: homoclinic orbits
zbMATH Keywords: heteroclinic orbits
zbMATH Keywords: peakon wave solutions
zbMATH Keywords: compacton wave solutions
zbMATH Keywords: periodic cusp wave solutions
MaRDI profile type: Publication
full work available at URL: s11425-010-4122-4
OpenAlex ID: W2069553137
cites work: Global conservative solutions of the Camassa-Holm equation
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Q4253188
cites work: Global weak solutions for a shallow water equation
cites work: On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
cites work: Stability of the Camassa-Holm solitons
cites work: Stability of peakons
cites work: Q4508328
cites work: Global weak solutions and blow-up structure for the Degasperis-Procesi equation
cites work: Peaked wave solutions of CH-r equation
cites work: Two new types of bounded waves of CH-\(\gamma\) equation
cites work: Persistence properties and unique continuation of solutions of the Camassa-Holm equation
cites work: Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
cites work: Traveling wave solutions of the Degasperis-Procesi equation
cites work: Stability of peakons for the Degasperis-Procesi equation
cites work: Several new types of solitary wave solutions for the generalized Camassa-Holm-Degasperis-Procesi equation
cites work: A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
cites work: PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
cites work: Global existence and blow-up phenomena for the Degasperis-Procesi equation
cites work: Formation and dynamics of shock waves in the Degasperis-Procesi equation
cites work: Compactons: Solitons with finite wavelength
cites work: Geometry and curvature of diffeomorphism groups with \(H^1\) metric and mean hydrodynamics
cites work: Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation
cites work: Four types of bounded wave solutions of CH-\(\gamma\) equation
cites work: New peaked solitary wave solutions of the generalized Camassa-Holm equation
cites work: Periodic and solitary-wave solutions of the Degasperis-Procesi equation
cites work: Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
cites work: On the weak solutions to a shallow water equation.
cites work: On the Cauchy problem for an integrable equation with peakon solutions
cites work: The bifurcation and peakon for Degasperis-Procesi equation
cites work: General expressions of peaked traveling wave solutions of CH-\(\gamma\) and CH equations
cites work: Bifurcations of smooth and nonsmooth traveling wave solutions in a generalized Degasperis-Procesi equation
cites work: Wave breaking for a shallow water equation
cites work: Stability of solitary waves for a rod equation
cites work: Blow-up phenomenon for the integrable Degasperis-Procesi equation
cites work: Blow-up of solutions to the DGH equation
cites work: Blow up and propagation speed of solutions to the DGH equation
cites work: On solutions to the Holm–Staleyb-family of equations
DOI: 10.1007/S11425-010-4122-4
description: scientific article; zbMATH DE number 5916796