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
Full text not available in this repository. (Request a copy from the Strathclyde author)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 |
|---|---|
| ID code: | 86 |
| Keywords: | Camassa–Holm equation, solitons, finite element analysis, numerical mathematics, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Miss Jacqueline Miller |
| Date Deposited: | 21 Dec 2005 |
| Last modified: | 12 Mar 2012 10:35 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/86 |
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