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2015•Unpublished venueRequires access

A nonlinear generalization of the Camassa-Holm equation with peakon solutions

M. S. Bruzón, M.L. Gandarias, Elena Recio, Stephen C. Anco

Open publisher page 10 citations

Abstract

A nonlinearly generalized Camassa-Holm equation, depending an arbitrary nonlinearity power p = 0, is considered.This equation reduces to the Camassa-Holm equation when p = 1 and shares one of the Hamiltonian structures of the Camassa-Holm equation.Two main results are obtained.A classification of point symmetries is presented and a peakon solution is derived, for all powers p = 0.

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What this paper is about

A nonlinearly generalized Camassa-Holm equation, depending an arbitrary nonlinearity power p = 0, is considered.This equation reduces to the Camassa-Holm equation when p = 1 and shares one of the Hamiltonian structures of the Camassa-Holm equation.Two main results are obtained.A classification of point symmetries is presented and a peakon solution is derived, for all powers p = 0.

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Available abstract

A nonlinearly generalized Camassa-Holm equation, depending an arbitrary nonlinearity power p = 0, is considered.This equation reduces to the Camassa-Holm equation when p = 1 and shares one of the Hamiltonian structures of the Camassa-Holm equation.Two main results are obtained.A classification of point symmetries is presented and a peakon solution is derived, for all powers p = 0.

Key concepts: Peakon, Camassa–Holm equation, Generalization, Nonlinear system, Computer science, Applied mathematics, Mathematics, Mathematical analysis

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