Explicit solutions of the Camassa-Holm equation

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 (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.

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• Item metadata

  Item type:	Article
  ID code:	86
  Dates:	Date Event December 2005 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Miss Jacqueline Miller
  Date deposited:	21 Dec 2005
  Last modified:	08 Apr 2024 15:39
  Related URLs:	http://www.maths.strath.ac.uk/~caas35/p&...
  URI:	https://strathprints.strath.ac.uk/id/eprint/86