Abstract
This paper studies traveling wave solutions of a nonlinear generalization of the Camassa-Holm equation introduced by Anco et al. in 2015 and 2019. Under given parameter conditions, the corresponding traveling system is a singular system of the first class defined in [ 8 ]. The bifurcations of traveling wave solutions in the parameter space are investigated from the perspective of dynamical systems. The existence of solitary wave solution, periodic peakon solutions and peakon, pseudo-peakon are proved. Possible exact explicit parametric representations of various solutions are given.
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