Camassa–Holm Cuspons, Solitons and Their Interactions via the Dressing Method

Rossen Ivanov; Tony Lyons; Nigel Orr

doi:10.1007/s00332-019-09572-1

Camassa–Holm Cuspons, Solitons and Their Interactions via the Dressing Method

Rossen Ivanov, Tony Lyons, Nigel Orr

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

A dressing method is applied to a matrix Lax pair for the Camassa–Holm equation, thereby allowing for the construction of several global solutions of the system. In particular, solutions of system of soliton and cuspon type are constructed explicitly. The interactions between soliton and cuspon solutions of the system are investigated. The geometric aspects of the Camassa–Holm equation are re-examined in terms of quantities which can be explicitly constructed via the inverse scattering method.

Original language	English
Pages (from-to)	225-260
Number of pages	36
Journal	Journal of Nonlinear Science
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/s00332-019-09572-1
Publication status	Published - 1 Feb 2020

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Camassa–Holm Cuspons, Solitons and Their Interactions via the Dressing Method

Abstract

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