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

Ivanov, Rossen and Lyons, Tony and Orr, Nigel (2020) Camassa–Holm Cuspons, Solitons and Their Interactions via the Dressing Method. Journal of Nonlinear Science, 30 (1). pp. 225-260. ISSN 0938-8974

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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.

Item Type:	Article
Additional Information:	Publisher Copyright: © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2611
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:08
Last Modified:	11 Aug 2023 16:05
URI:	http://repository-testing.wit.ie/id/eprint/4315

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