Abstract Starting from the extended tanh-function method (ETM) based on the mapping method, the variable separation solutions of the (2+1)-dimensional asymmetric Nizhnik--Novikov--Veselov (ANNV) system are derived. By further study, we find that these variable separation solutions are seemingly independent of but actually dependent on each other. Based on the variable separation solution and by choosing appropriate functions, some novel and interesting interactions between special solitons, such as bell-like compacton, peakon-like compacton and compacton-like semi-foldon, are investigated.
Received: 21 August 2006
Revised: 11 December 2006
Accepted manuscript online:
PACS:
05.45.Yv
(Solitons)
Fund: Project supported
by the National Natural Science Foundation of China (Grant No
10672147) and Natural Science Foundation of Zhejiang Forestry
University, China (Grant No 2006FR035).
Cite this article:
Dai Chao-Qing(戴朝卿) and Zhou Guo-Quan(周国泉) Exotic interactions between solitons of the (2+1)-dimensional asymmetric Nizhnik--Novikov--Veselov system 2007 Chinese Physics 16 1201
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