J4 ›› 2015, Vol. 14 ›› Issue (12): 1-6.

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Exact Solutions of Two（2+1）-dimensional Long Water Wave Equations

  

  1. （1. Center of Development Planning and Education Evaluation, Hetao College, Bayannur, Inner Mongolia 015000, China;
    2. Department of Science, Hetao College, Bayannur, Inner Mongolia 015000, China）
  • Received:2015-10-27 Online:2015-12-15 Published:2015-12-15

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Abstract:

On the basis of the homogeneous balance principle, the exact solutions of（2+1）-dimensional dissipative long wave
equation and the（2+1）-dimensional dispersive long wave equation are studied with the aid of Mathematica software. Moreover, by
generalizing the form of quasi-solution, new exact solutions of two long wave equations are obtained, and the structure and properties of
these solutions are more comprehensive than the conclusions in relevant literature.

Key words: long wave equations, exact solution, homogeneous balance method

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