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Chinese Physics, 2004, Vol. 13(11): 1796-1800    DOI: 10.1088/1009-1963/13/11/004
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A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation

Chen Yong (陈勇)abc, Wang Qi (王琪)cd
a Department of Mathematics, Ningbo University, Ningbo 315211, Chinab Department of Physics, Shanghai Jiaotong University, Shanghai 200030, Chinac Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China; d Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
Abstract  By means of a new general ans?tz and with the aid of symbolic computation, a new algebraic method named Jacobi elliptic function rational expansion is devised to uniformly construct a series of new double periodic solutions to (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov (ANNV) equation in terms of rational Jacobi elliptic function.
Keywords:  (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation      Jacobi elliptic functions      travelling wave solution      soliton solution      periodic solution  
Received:  23 March 2004      Revised:  07 June 2004      Accepted manuscript online: 
PACS:  02.30.Mv (Approximations and expansions)  
  02.30.Jr (Partial differential equations)  
  02.60.Gf (Algorithms for functional approximation)  
  05.45.Yv (Solitons)  
Fund: Project supported by the National Outstanding Youth Foundation of China (Grant No 19925522) and the Postdoctoral Science Foundation of China(Grant No 2004035080).

Cite this article: 

Chen Yong (陈勇), Wang Qi (王琪) A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation 2004 Chinese Physics 13 1796

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