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Chin. Phys. B, 2009, Vol. 18(10): 4094-4099    DOI: 10.1088/1674-1056/18/10/005
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New explicit and exact solutions of the Benney--Kawahara--Lin equation

Xie Yuan-Xi(谢元喜)
Department of Physics and Electronic Information, Hunan Institute of Science and Technology, Yueyang 414000, China
Abstract  In this paper, we present a combination method of constructing the explicit and exact solutions of nonlinear partial differential equations. And as an illustrative example, we apply the method to the Benney-Kawahara-Lin equation and derive its many explicit and exact solutions which are all new solutions.
Keywords:  combination method      Benney--Kawahara--Lin equation      explicit and exact solution  
Received:  03 February 2009      Revised:  28 March 2009      Accepted manuscript online: 
PACS:  02.30.Jr (Partial differential equations)  
  02.30.Mv (Approximations and expansions)  
  02.30.Sa (Functional analysis)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10672053).

Cite this article: 

Xie Yuan-Xi(谢元喜) New explicit and exact solutions of the Benney--Kawahara--Lin equation 2009 Chin. Phys. B 18 4094

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