| Interaction between compacton and anticompacton,peakon and antipeakon in （2 ＋ 1）-dimensional spaces |
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| 引用本文： | 韩平,张解放,孟剑平.Interaction between compacton and anticompacton,peakon and antipeakon in （2 ＋ 1）-dimensional spaces[J].中国物理 B,2003,12(10):1166-1171. |
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| 作者姓名： | 韩平 张解放 孟剑平 |
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| 作者单位： | (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 |
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| 基金项目： | 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.
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| 关 键 词： | （2＋1）维空间 可积分散长波方程 齐次平衡方法 数值解 相互作用 可压缩流体力学 不可压缩流体力学 波峰 反波峰 |
| 收稿时间： | 2003-03-21 |
Interaction between compacton and anticompacton, peakon and antipeakon in (2+1)-dimensional spaces |
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| Han Ping,Zhang Jie-Fang and Meng Jian-Ping.Interaction between compacton and anticompacton, peakon and antipeakon in (2+1)-dimensional spaces[J].Chinese Physics B,2003,12(10):1166-1171. |
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| Authors: | Han Ping Zhang Jie-Fang and Meng Jian-Ping |
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| Institution: | Department of Physics, Zhejiang Ocean University, Zhoushan 316004, China; 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, Loughborough, Leicestershire, LE11, 3TU, UK |
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| 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. |
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| Keywords: | homogeneous balance method compacton peakon (2+1)-dimensional dispersive long wave equation |
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