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New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the Exp-function method. (English) Zbl 1235.65153
Summary: We construct new analytical solutions of the (3+1)-dimensional modified KdV-Zakharov-Kuznetsev equation by the Exp-function method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained by the method. The obtained results show that the Exp-function method is effective and straightforward mathematical tool for searching analytical solutions with arbitrary parameters of higher-dimensional nonlinear partial differential equation.
MSC:
65N99Numerical methods for BVP of PDE
35Q53KdV-like (Korteweg-de Vries) equations