By reciprocal transformation of an unknown function,the Gardner-KP equation reduced by travelling wave was converted into a nonlinear ordinary differential equation( ODE) linked up with a second order linear ODE. From the general solutions of the linear ODE,the solutions of the nonlinear ODE could be derived.Therefore the bounded bell shaped solitary wave solutions,kink shaped solitary wave solutions,rational function solutions as well as various unbounded solitary wave solutions with singularities of the G...
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