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:

 65N99 Numerical methods for partial differential equations, boundary value problems 35Q53 KdV equations (Korteweg-de Vries equations)
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