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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

A Note on a Camassa-Holm Type Equation

Journal of Applied Nonlinear Dynamics 14(2) (2025) 299--311 | DOI:10.5890/JAND.2025.06.006

Giuseppe Maria Coclite, Lorenzo di Ruvo

Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, via E. Orabona 4, 70125 Bari, Italy

Dipartimento di Matematica, Universit`a di Bari, via E. Orabona 4, 70125 Bari, Italy

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Abstract

Camassa-Holm equation arises as model for unidirectional propagation of shallow water waves over a flat bottom. In this paper, we prove the well-posedness of the classical solution for the Cauchy problem associated with this equation, for every choice of the time $T$.

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