New ansätz for obtaining wave solutions of the generalized Camassa-Holm equation

An alternate approach is proposed for obtaining periodic wave and peaked solitary wave solutions of the following nonlinear generalized Camassa-Holm equationut+2kux-uxxt+aumux=2uxuxx+uuxxxFor m = 1, 2, 3 we give the explicit expressions for the peakons. The ansätz, introduced in this paper, will also demonstrate the existence of a new class of discontinuous soliton solutions with infinite spikes.