Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2008-08-16
Applied Math. Lett. 23 (2010) 681
Nonlinear Sciences
Pattern Formation and Solitons
5 pages, 2 figures; version to be published in Applied Mathematics Letters
Scientific paper
10.1016/j.aml.2010.02.008
We propose a simple algebraic method for generating classes of traveling wave solutions for a variety of partial differential equations of current interest in nonlinear science. This procedure applies equally well to equations which may or may not be integrable. We illustrate the method with two distinct classes of models, one with solutions including compactons in a class of models inspired by the Rosenau-Hyman, Rosenau-Pikovsky and Rosenau-Hyman-Staley equations, and the other with solutions including peakons in a system which generalizes the Camassa-Holm, Degasperis-Procesi and Dullin-Gotwald-Holm equations. In both cases, we obtain new classes of solutions not studied before.
Bazeia Dionisio
Das Ashok
dos Santos Mauro Jose
Losano Laercio
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