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Chin. Phys. B, 2009, Vol. 18(12): 5123-5132    DOI: 10.1088/1674-1056/18/12/005
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Solving mKdV-sinh-Gordon equation by a modified variable separated ordinary differential equation method

Xie Yuan-Xi(谢元喜)
Department of Physics and Electronic Information, Hunan Institute of Science and Technology, Yueyang 414000, China
Abstract  By introducing a more general auxiliary ordinary differential equation (ODE), a modified variable separated ODE method is developed for solving the mKdV--sinh-Gordon equation. As a result, many explicit and exact solutions including some new formal solutions are successfully picked up for the mKdV--sinh-Gordon equation by this approach.
Keywords:  modified variable separated ODE method      mKdV--sinh-Gordon equation      explicit and exact solution  
Received:  11 April 2009      Revised:  21 June 2009      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.Hq (Ordinary differential equations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10672053).

Cite this article: 

Xie Yuan-Xi(谢元喜) Solving mKdV-sinh-Gordon equation by a modified variable separated ordinary differential equation method 2009 Chin. Phys. B 18 5123

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