NEW EXPLICIT AND EXACT TRAVELLING WAVE SOLUTIONS FOR A COMPOUND KdV－BURGERS EQUATION
Xia Tie-cheng (夏铁成)ab, Zhang Hong-qing (张鸿庆)a, Yan Zhen-ya (闫振亚)a
a Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; b Department of Mathematics, Jinzhou Normal University Jinzhou 121000, China
Abstract In this paper, new explicit and exact travelling wave solutions for a compound KdV－Burgers equation are obtained by using the hyperbola function method and the Wu elimination method, which include new solitary wave solutions and periodic solutions. Particularly important cases of the equation, such as the compound KdV, mKdV－Burgers and mKdV equations can be solved by this method. The method can also solve other nonlinear partial differential equations.
Received: 17 May 2000
Revised: 22 January 2001
Accepted manuscript online:
(Ordinary and partial differential equations; boundary value problems)
Fund: Project supported by the National Key Basic Research Development project of China (Grant No. 1998030600), the National Natural Science Foundation of China (Grant No. 10072013) and Educational Committee of Liaoning Province (Grant No. 990421093).
Cite this article:
Xia Tie-cheng (夏铁成), Zhang Hong-qing (张鸿庆), Yan Zhen-ya (闫振亚) NEW EXPLICIT AND EXACT TRAVELLING WAVE SOLUTIONS FOR A COMPOUND KdV－BURGERS EQUATION 2001 Chinese Physics 10 694
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