| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10734159 | Chaos, Solitons & Fractals | 2005 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
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Statistical and Nonlinear Physics
Authors
E.J. Parkes, V.O. Vakhnenko,