Nonlinear Partial Differential Equations, Traveling Wave Solutions Of Branch

Bifurcation of solitary waves and kink waves for Generalise Pochhammer-Chree Equation are studied, by using the bifurcation theory of planar dynamical systems. Bifurcation parameter sets are shown.Numbers of solitary waves and kink waves are given. Under various parameter conditions, all expicit formulars of solitary wave solutions and kink wave solutions are obtained.By using the theory of planar dynamics system to a class of Coupling Nonlinear Equations,the existence of uncountably infinite many smooth and non-smooth periodic wave solutions and solitary wave solutions is obtained. Under different parametric conditions, various sufficient conditions to gurantee the existence of the above solutions are given.