| 扩展的(2+1)维浅水波方程的尖峰孤子解及其相互作用 |
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| 引用本文： | 马松华,方建平.扩展的(2+1)维浅水波方程的尖峰孤子解及其相互作用[J].物理学报,2012,61(18):180505-180505. |
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| 作者姓名： | 马松华 方建平 |
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| 作者单位： | 丽水学院理学院,丽水,323000 |
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| 基金项目： | 浙江省自然科学基金(批准号: Y6100257, Y6110140)资助的课题. |
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| 摘 要： | 利用改进的 Riccati方程映射法和变量分离法, 得到了扩展的(2+1)维浅水波方程的变量分离解(包括孤波解, 周期波解和有理函数解). 根据得到的孤波解, 构造出了方程的几种不同形状的尖峰孤子结构, 研究了孤子的相互作用.
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| 关 键 词： | 改进的映射法 扩展的(2+1)维浅水波方程 尖峰孤子 相互作用 |
| 收稿时间： | 2012-01-14 |
Peaked soliton solutions and interaction between solitons for the extended (2+1)-dimensional shallow water wave equation |
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| Ma Song-Hua,Fang Jian-Ping.Peaked soliton solutions and interaction between solitons for the extended (2+1)-dimensional shallow water wave equation[J].Acta Physica Sinica,2012,61(18):180505-180505. |
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| Authors: | Ma Song-Hua Fang Jian-Ping |
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| Institution: | College of Science, Lishui University, Lishui 323000, China |
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| Abstract: | By an improved Riccati mapping approach and a variable separation approach, a new family of variable separation solutions (including solitory wave solutions, periodic wave solutions, and rational function solutions) of the extended (2+1)-dimensional shallow water wave (SWW) equation is derived. According to the derived solitary wave excitation, we obtain some special peaked soliton structures and study the interaction between solitons. |
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| Keywords: | improved mapping approach extended (2+1)-dimensional shallow water wave equation peaked soliton interaction between solitons |
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