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Peaked wave solutions of Camassa-Holm equation. (English) Zbl 1068.35136
Summary: The analytic expressions of peaked solitary wave solutions and peaked periodic wave solutions of Camassa-Holm equation are obtained by using the bifurcation method of planar dynamical systems. The convergence of the peaked periodic wave solutions is proved. Numerical simulation results show the consistence with the theoretical analysis. The results in this paper are wider than those already known.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
37G15Bifurcations of limit cycles and periodic orbits