On the classical solutions for the high order Camassa-Holm type equations

Giuseppe Maria Coclite,Lorenzo Di Ruvo

doi:10.1016/j.jmaa.2023.127338

On the classical solutions for the high order Camassa-Holm type equations

Giuseppe Maria Coclite, Lorenzo Di Ruvo

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https://doi.org/10.1016/j.jmaa.2023.127338

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Journal: Journal of Mathematical Analysis and Applications	Publication Date: Apr 20, 2023
License type: cc-by

Affiliation: Polytechnic University of Bari, University of Bari Aldo Moro

#Smooth Diffeomorphisms #Evolution Of Waves + Show 8 more

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Abstract

The high order Camassa-Holm equation describes the evolution of shallow water waves and the manifold of the smooth orientation-preserving diffeomorphisms of the unit circle in the plane S1. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem associated with these equations.

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