Bäcklund transformation and variable separation solutions for the generalized Nozhnik-Novikov-Veselov equation
Zhang Jie-Fang (张解放)
Institute of Nonlinear Physics , Zhejiang Normal University, Jinhua 321004, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 China
Abstract Using the extended homogeneous balance method, the B?cklund transformation for a (2+1)-dimensional integrable model, the generalized Nizhnik－Novikov－Veselov (GNNV) equation, is first obtained. Also, making use of the B?cklund transformation, the GNNV equation is changed into three equations: linear, bilinear and trilinear form equations. Starting from these three equations, a rather general variable separation solution of the model is constructed. The abundant localized coherent structures of the model can be induced by the entrance of two variable-separated arbitrary functions.
Received: 04 December 2001
Revised: 28 March 2002
Accepted manuscript online:
Fund: Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No 100039).
Cite this article:
Zhang Jie-Fang (张解放) Bäcklund transformation and variable separation solutions for the generalized Nozhnik-Novikov-Veselov equation 2002 Chinese Physics 11 651
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