On the initial value problem for a completely integrable shallow water wave equation

DOI10.1016/S0375-9601(01)00070-6zbMath1002.76012OpenAlexW1996760428MaRDI QIDQ5933114

A. I. Zenchuk, Roberto Camassa

Publication date: 5 June 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00070-6

zbMATH Keywords

wave equationshallow water equationsinitial value problemlong wavesfree water surfacemodified Korteweg-de Vries equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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On the traveling waves governed by the Camassa-Holm equation ⋮ A sixth-order dual preserving algorithm for the Camassa-Holm equation ⋮ A note on solitary wave solutions of the nonlinear generalized Camassa-Holm equation ⋮ Bell polynomial approach to associated Camassa-Holm equation ⋮ On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions ⋮ Integral and integrable algorithms for a nonlinear shallow-water wave equation ⋮ Integrable generalization of the associated Camassa-Holm equation ⋮ Equations of the Camassa-Holm hierarchy

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