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
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
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.
Received: 26 May 2005
Revised: 22 November 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10575087) and the Natural Foundation of Zhejiang Province (Grant No 102053).
Cite this article:
Lin Ji (林机), Wang Rui-Min (王瑞敏), Ye Li-Jun (叶丽军) Linear superposition method for (2+1)-dimensional nonlinear wave equations 2006 Chinese Physics 15 665
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