Compacton, Peakon, and Foldon Structures in the (2+1)-Dimensional Nizhnik-Novikov-Veselov Equation |
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| Authors: | ZHANG Jie-Fang MENG Jian-Ping WU
Feng-Min SI
Jian-Qing |
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| Institution: | 1. Institute of Nonlinear Physics, Zhejiang
Normal University, Jinhua 321004, China
;2. Department of Mathematical Science,
Loughborough University, Loughborough, Leicestershire LE11 3TU, UK
;3. Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
;4. Department of Physics, Zhejiang University of
Technology, Hangzhou 310014, China |
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| Abstract: | By the use of the extended homogenous
balance method, the Backlund transformation
for a (2+1)-dimensional integrable model, the(2+1)-dimensional
Nizhnik-Novikov-Veselov (NNV) equation, is obtained,
and then the NNV equation is transformed into three
equations of linear, bilinear, and tri-linear forms,
respectively. From the above three equations,
a rather general variable separation solution
of the model is obtained. Three novel class localized structures
of the model are founded by the entrance of two variable-separated
arbitrary functions. |
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| Keywords: | compacton peakon foldon Nizhnik-Novikov-Veselov equation |
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