Z. Naturforsch. 68a, 227 – 234 (2013)
Localized Structures Constructed by Multi-Valued Functions in the (2+1)-dimensional Generalized Nizhnik–Novikov–Veselov Equation
Cui-Yun Liu, Wei-Lu Chen, and Chao-Qing Dai
School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an, Zhejiang 311300, P. R. China
Received May 7, 2012 / revised August 19, 2012 / published online February 20, 2013
Reprint requests to: C.-Q. D.; E-mail: dcq424@126.com
A modified mapping method is presented to derive a variable separation solution with two arbitrary functions of the (2 + 1)-dimensional generalized Nizhnik{Novikov{Veselov equation. By selecting appropriate functions in the variable separation solution, we discuss interaction behaviours among special solitons, constructed by multi-valued functions, including the compacton-like dromion, compacton-like peakon, and compacton-like semi-foldon.
Key words: Modified Mapping Method; Generalized Nizhnik–Novikov–Veselov Equation; Variable Separation Solution; Interactions between Special Solitons.
PACS numbers: 05.45.Yv; 02.30.Ik; 03.65.Ge
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