中国物理B ›› 2004, Vol. 13 ›› Issue (9): 1377-1381.doi: 10.1088/1009-1963/13/9/001

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New families of non-travelling wave solutions to the (2+1)-dimensional modified dispersive water-wave system

张鸿庆1, 李德生2   

  1. (1)Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; (2)Department of Mathematics, Shenyang Normal University, Shenyang 110034, China; Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
  • 收稿日期:2003-12-26 修回日期:2004-01-26 出版日期:2004-06-21 发布日期:2005-06-21
  • 基金资助:
    Project supported by the National Key Basic Research Development of China (Grant No 1998030600) and the National Natural Science Foundation of China (Grant No 10072013).

New families of non-travelling wave solutions to the (2+1)-dimensional modified dispersive water-wave system

Li De-Shengab, Zhang Hong-Qing (张鸿庆)b   

  1. a Department of Mathematics, Shenyang Normal University, Shenyang 110034, China; b Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
  • Received:2003-12-26 Revised:2004-01-26 Online:2004-06-21 Published:2005-06-21
  • Supported by:
    Project supported by the National Key Basic Research Development of China (Grant No 1998030600) and the National Natural Science Foundation of China (Grant No 10072013).

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摘要： In this paper, we introduce a further generalized projective Riccati equation method and apply it to solve the (2+1)-dimensional modified dispersive water-wave system. Many new types of non-travelling wave solutions are obtained for this system.

关键词: projective Riccati equation method, (2+1)-dimensional modified dispersive water-wave system, non-travelling wave solution

Abstract: In this paper, we introduce a further generalized projective Riccati equation method and apply it to solve the (2+1)-dimensional modified dispersive water-wave system. Many new types of non-travelling wave solutions are obtained for this system.

Key words: projective Riccati equation method, (2+1)-dimensional modified dispersive water-wave system, non-travelling wave solution

中图分类号:  (Partial differential equations)

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