Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations

نویسندگان

  • Yongyi Gu
  • Jianming Qi
چکیده

In this paper, symmetries and symmetry reduction of two higher-dimensional nonlinear evolution equations (NLEEs) are obtained by Lie group method. These NLEEs play an important role in nonlinear sciences. We derive exact solutions to these NLEEs via the [Formula: see text]-expansion method and complex method. Five types of explicit function solutions are constructed, which are rational, exponential, trigonometric, hyperbolic and elliptic function solutions of the variables in the considered equations.

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عنوان ژورنال:

دوره 2017  شماره 

صفحات  -

تاریخ انتشار 2017