Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation

Details Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation

2009-08-06

arxiv.org/abs/0908.0921v1

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, 20 figures

Scientific paper

10.1016/j.nonrwa.2008.11.014

In this paper, we employ the bifurcation method of dynamical systems to investigate the exact travelling wave solutions for the Fornberg-Whitham equation. The implicit expression for solitons is given. The explicit expressions for peakons and periodic cusp wave solutions are also obtained. Further, we show that the limits of soliton solutions and periodic cusp wave solutions are peakons.

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