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Chinese Physics, 2004, Vol. 13(1): 1-4    DOI: 10.1088/1009-1963/13/1/001
GENERAL   Next  

Backlünd transformation and multiple soliton solutions for the (3+1)-dimensional Nizhnik-Novikov-Veselov equation

Bai Cheng-Lin (白成林)
Department of Communication Engineering, Liaocheng University, Liaocheng 252059, China
Abstract  We develop an approach to construct multiple soliton solutions of the (3+1)-dimensional nonlinear evolution equation. We take the (3+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation as an example. Using the extended homogeneous balance method, one can find a Backlünd transformation to decompose the (3+1)-dimensional NNV into a set of partial differential equations. Starting from these partial differential equations, some multiple soliton solutions for the (3+1)-dimensional NNV equation are obtained by introducing a class of formal solutions.
Keywords:  soliton      extended homogeneous balance method      (3+1)-dimensional NNV equation  
Received:  26 February 2003      Revised:  25 June 2003      Accepted manuscript online: 
PACS:  02.30.Hq (Ordinary differential equations)  
  02.30.Jr (Partial differential equations)  
  02.60.Cb (Numerical simulation; solution of equations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60177009), and the Natural Science Foundation of Shandong Province, China (Grant No Q2003G07).

Cite this article: 

Bai Cheng-Lin (白成林) Backlünd transformation and multiple soliton solutions for the (3+1)-dimensional Nizhnik-Novikov-Veselov equation 2004 Chinese Physics 13 1

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