Parkes, E.J. and Vakhnenko, V.O.
(2005)
*Explicit solutions of the Camassa-Holm equation.*
Chaos, Solitons and Fractals, 26 (5).
pp. 1309-1316.
ISSN 0960-0779

Official URL: http://dx.doi.org/10.1016/j.chaos.2005.03.011

## Abstract

Explicit travelling-wave solutions of the Camassa-Holm equation are sought. The solutions are characterized by two parameters. For propagation in the positive x-direction, both periodic and solitary smooth-hump, peakon, cuspon and inverted-cuspon waves are found. For propagation in the negative x-direction, there are solutions which are just the mirror image in the x-axis of the aforementioned solutions. Some composite wave solutions of the Degasperis-Procesi equation are given in an appendix.

Item type: | Article |
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ID code: | 86 |

Keywords: | Camassa–Holm equation, solitons, finite element analysis, numerical mathematics, Mathematics, Mathematics(all) |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Miss Jacqueline Miller |

Date Deposited: | 21 Dec 2005 |

Last modified: | 10 Dec 2015 16:41 |

Related URLs: | |

URI: | http://strathprints.strath.ac.uk/id/eprint/86 |

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