The concave or convex peaked and smooth soliton solutions of Camassa-Holm equation

DOI10.1007/BF02437774zbMath1020.35075OpenAlexW2063249128MaRDI QIDQ1864026

Gang Xu, Lixin Tian, Zeng-Rong Liu

Publication date: 18 June 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02437774

zbMATH Keywords

shallow water equationstraveling wave solutionCamassa-Holm equationssmooth solitonpeaked soliton

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Solitary waves for incompressible inviscid fluids (76B25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (7)

The bifurcation and peakon for \(K(2, 2)\) equation with osmosis dispersion ⋮ Unnamed Item ⋮ New peaked solitary wave solutions of the generalized Camassa-Holm equation ⋮ The bifurcation and peakon for Degasperis-Procesi equation ⋮ Singular solitons of generalized Camassa-Holm models ⋮ Parallel simultaneous stabilization of two systems governed by partial differential equations subject to actuator saturation ⋮ On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation

Cites Work

• Unnamed Item
• The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
• Symmetries of a class of nonlinear third-order partial differential equations
• The Camassa Holm equation: Conserved quantities and the initial value problem
• On the weak solutions to a shallow water equation
• Wavelet approximate inertial manifold in nonlinear solitary wave equation
• Stability of peakons

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