中国物理B ›› 2003, Vol. 12 ›› Issue (10): 1166-1171.doi: 10.1088/1009-1963/12/10/320

• • 上一篇    

Interaction between compacton and anticompacton, peakon and antipeakon in (2+1)-dimensional spaces

韩平1, 孟剑平2, 张解放3   

  1. (1)Department of Physics, Zhejiang Ocean University, Zhoushan 316004, China; (2)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; (3)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Department of Mathematical Sciences, Loughborough University, Loughboro
  • 收稿日期:2003-03-21 修回日期:2003-07-23 出版日期:2003-10-16 发布日期:2005-03-16
  • 基金资助:
    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).

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    

  1. 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
  • Received:2003-03-21 Revised:2003-07-23 Online:2003-10-16 Published:2005-03-16
  • Supported by:
    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).

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摘要： 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.

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.

Key words: homogeneous balance method, compacton, peakon, (2+1)-dimensional dispersive long wave equation

中图分类号:  (Partial differential equations)

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