中国物理B ›› 2006, Vol. 15 ›› Issue (4): 665-670.doi: 10.1088/1009-1963/15/4/002

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Linear superposition method for (2+1)-dimensional nonlinear wave equations

林机1, 叶丽军1, 王瑞敏2   

  1. (1)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;International Centre for Theoretical Physics, Trieste 34014, Italy; (2)Normal College of Jinhua College of Profession and Technology, Jinhua 321004, China
  • 收稿日期:2005-05-26 修回日期:2005-11-22 出版日期:2006-04-20 发布日期:2006-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10575087) and the Natural Foundation of Zhejiang Province (Grant No 102053).

Linear superposition method for (2+1)-dimensional nonlinear wave equations

Lin Ji (林机)ab, Wang Rui-Min (王瑞敏)c, Ye Li-Jun (叶丽军)ab    

  1. a Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, Chinab International Centre for Theoretical Physics, Trieste 34014, Italy; c Normal College of Jinhua College of Profession and Technology, Jinhua 321004, China
  • Received:2005-05-26 Revised:2005-11-22 Online:2006-04-20 Published:2006-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10575087) and the Natural Foundation of Zhejiang Province (Grant No 102053).

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摘要： New forms of different-periodic travelling wave solutions for the (2+1)-dimensional Zakharov--Kuznetsov (ZK) equation and the Davey--Stewartson (DS) equation are obtained by the linear superposition approach of Jacobi elliptic function. A sequence of cyclic identities plays an important role in these procedures.

关键词: linear superposition, nonlinear equation, travelling wave solution

Abstract: New forms of different-periodic travelling wave solutions for the (2+1)-dimensional Zakharov--Kuznetsov (ZK) equation and the Davey--Stewartson (DS) equation are obtained by the linear superposition approach of Jacobi elliptic function. A sequence of cyclic identities plays an important role in these procedures.

Key words: linear superposition, nonlinear equation, travelling wave solution

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.-f (Function theory, analysis)