Interaction between compacton and anticompacton, peakon and antipeakon in (2+1)-dimensional spaces
Han Ping (韩平)a, Zhang Jie-Fang (张解放)bcd, Meng Jian-Ping (孟剑平)b
a Department of Physics, Zhejiang Ocean University, Zhoushan 316004, China; b Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; c Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, Chinad Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11, 3TU, UK
Abstract Starting from the variable separation solution obtained by using the extended homogenous balance method, a class of novel localized coherent structures such as the multi-peakon－antipeakons solution and the multi-compacton－anticompactons solution of the (2+1)-dimensional dispersive long wave equation are found by selecting appropriate functions. These new structures exhibit some novel interaction features that are different from one of the known results. Their interaction behaviour is very similar to the completely elastic collisions between two classical particles.
Received: 21 March 2003
Revised: 23 July 2003
Accepted manuscript online:
PACS:
02.30.Jr
(Partial differential equations)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10272072), and the Natural Science Foundation of Zhejiang Province, China (Grant No 101032).
Cite this article:
Han Ping (韩平), Zhang Jie-Fang (张解放), Meng Jian-Ping (孟剑平) Interaction between compacton and anticompacton, peakon and antipeakon in (2+1)-dimensional spaces 2003 Chinese Physics 12 1166
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