Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (7): 956-964.

• Articles • Previous Articles     Next Articles

Projective Riccati Equation Method and New Exact Travelling Wave Solutions for the (2+1)-dimensional Long Wave Equations

 ZHI Hong-Yan, CHEN Yong, ZHANG Hong-Qing   

  • Online:2005-12-30 Published:2005-12-30
  • Supported by:

    国家自然科学基金(10072013)和国家重点基础研究发展规划项目(G1998030600)以及中国博士后基金、浙江省自然科学基金(Y604056)资助

Abstract:

Based upon a generally projective Riccati equation method, which is a direct and unified algebraic method for constructing more general form travelling wave solutions of nonlinear partial differential equations (PDEs) and implemented in a computer algebraic system, the authors  consider the (2+1)-dimensional dispersive long wave equations(DLWE). More and new general form solutions are obtained, including kink-shaped solitons,
bell-shaped solitons, singular solitons and periodic solutions.The properties of some new formal solitary wave solutions are shown by some figures.

Key words: Projective Riccati equation method, (2+1)-dimensional long wave equations (DLWE), Exact solution.

CLC Number: 

  • 35Q20
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