Camassa-Holm cuspons, solitons and their interactions via the dressing method
Exactly Solvable and Integrable Systems
2019-09-04 v1 Pattern Formation and Solitons
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 ar re-examined in terms of quantities which can be explicitly constructed via the inverse scattering method.
Cite
@article{arxiv.1908.00980,
title = {Camassa-Holm cuspons, solitons and their interactions via the dressing method},
author = {Rossen Ivanov and Tony Lyons and Nigel Orr},
journal= {arXiv preprint arXiv:1908.00980},
year = {2019}
}
Comments
35 pages, 10 figures. arXiv admin note: text overlap with arXiv:1702.01128