Bifurcation on Smooth and Non-smooth Traveling Wave Solutions for a Generalized Two-component Camassa-Holm Equation
Xinghua Fan & Shasha Li · Journal of Scientific Research and Reports · 2014
A generalized two-component Camassa-Holm equation is introduced as a model for shallow water waves moving over a linear shear flow. Bifurcations of traveling wave solutions are studied. Phase portraits of the traveling wave system are given. By using the method of planar dynamica...