THE EXTENDED RICCATI EQUATION METHOD FOR TRAVELLING WAVE SOLUTIONS OF ZK EQUATION

Xiaofeng Li; Jiahua Han; Fei Wang

doi:10.11948/2012031

2012 Volume 2 Issue 4

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Xiaofeng Li, Jiahua Han, Fei Wang. THE EXTENDED RICCATI EQUATION METHOD FOR TRAVELLING WAVE SOLUTIONS OF ZK EQUATION[J]. Journal of Applied Analysis & Computation, 2012, 2(4): 423-430. doi: 10.11948/2012031

Citation:

Xiaofeng Li, Jiahua Han, Fei Wang. THE EXTENDED RICCATI EQUATION METHOD FOR TRAVELLING WAVE SOLUTIONS OF ZK EQUATION[J]. Journal of Applied Analysis & Computation, 2012, 2(4): 423-430. doi: 10.11948/2012031

THE EXTENDED RICCATI EQUATION METHOD FOR TRAVELLING WAVE SOLUTIONS OF ZK EQUATION

College of Physics and Material Science, Anhui University, 230039, Hefei, Anhui, China

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Abstract

Abstract

In this article, the extended Riccati equation method is applied to seeking more general exact travelling wave solutions of the ZK equation. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. When the parameters are taken as special values, the solitary wave solutions are obtained from the hyperbolic function solutions. Similarly, the periodic wave solutions are also obtained from the trigonometric function solutions. The approach developed in this paper is effective and it may also be used for solving many other nonlinear evolution equations in mathematical physics.
- The extended Riccati equation method /
- ZK equation /
- hyperbolic function solutions /
- trigonometric function solutions /
- rational solutions
MSC: 74J35;35Q51

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