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.
Received: 26 February 2003
Revised: 25 June 2003
Accepted manuscript online:
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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