Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (6): 784-788.

• Articles • Previous Articles     Next Articles

Some Soliton like and Periodic Solutions for a (2+1) dimensional Generalization of Shallow Water Wave Equation

 MEI Jian-Qin, ZHANG Hong-Qiang   

  • Online:2005-12-24 Published:2005-12-24
  • Supported by:

    国家自然科学基金(Grant No.10072013,10072189)资助

Abstract:

In this paper,  based on a system of Riccati equations, a  newly general projective Riccati equaiton expansion method is presented. It is  direct and can be used to construct more new exact solutions of nonlinear differ ential equations in mathematical physics. The (2+1)dimensional eneralization  of shallow water wave equation is chosen to illustrate the algorithm such that m ore families of new exact solutions are obtained, which contain soliton\|like and periodic solutions. This algorithm can also be applied to other nonlinear diff erential equations.

Key words: (2+1)dimensional generalization of shallow water wave , equaiton, Soliton like solution, Periodic solution.

CLC Number: 

  • 35Q51
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