The existence and uniqueness of the local solution for a Camassa-Holm type equation

DOI10.1016/j.amc.2010.02.021zbMath1190.35183OpenAlexW2137291894MaRDI QIDQ972177

Shaoyong Lai

Publication date: 25 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.021

zbMATH Keywords

local well-posednessgeneralized Camassa-Holm equationhigh order nonlinear termspseudoparabolic regularization technique

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (3)

On solitary wave solutions for the Camassa-Holm and the Rosenau-RLW-Kawahara equations with the dual-power law nonlinearities ⋮ On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities ⋮ Two types of bounded traveling-wave solutions of a two-component Camassa-Holm equation

Cites Work

• Peakons, solitary patterns and periodic solutions for generalized Camassa-Holm equations
• A note on well-posedness for Camassa-Holm equation.
• Global weak solutions for a shallow water equation
• A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
• The Cauchy problem for an integrable shallow-water equation
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations
• A domain decomposition method for the Oseen-viscoelastic flow equations
• Commutator estimates and the euler and navier-stokes equations
• The initial-value problem for the Korteweg-de Vries equation
• An integrable shallow water equation with peaked solitons

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