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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:

65N99 | Numerical methods for partial differential equations, boundary value problems |

35Q53 | KdV equations (Korteweg-de Vries equations) |

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\textit{H. Naher} et al., J. Appl. Math. 2012, Article ID 575387, 14 p. (2012; Zbl 1235.65153)

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### References:

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