中国物理B ›› 2002, Vol. 11 ›› Issue (7): 651-655.doi: 10.1088/1009-1963/11/7/301
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张解放
Zhang Jie-Fang (张解放)
摘要: 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.
中图分类号: (Ordinary differential equations)