New peaked solitary wave solutions of the generalized Camassa-Holm equation

In this paper, we consider generalized Camassa-Holm equations and the generalized weakly dissipative Camassa-Holm equations and derive some new exact peaked solitary wave solutions. For m = 3, where m is representative of the strength of the nonlinearity, we give two types new exact traveling wave solutions of the generalized weakly dissipative Camassa-Holm equations. (C) 2003 Elsevier Ltd. All rights reserved.