Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation
Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation
By using the bifurcation theory of dynamical systems, we study the coupled Higgs field equation and the existence of new solitary wave solutions, and uncountably infinite many periodic wave solutions are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. All …