| (2+1)维Korteweg-de Vries方程的复合波解及局域激发 |
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| 引用本文： | 张文玲,马松华,陈晶晶.(2+1)维Korteweg-de Vries方程的复合波解及局域激发[J].物理学报,2014,63(8):80506-080506. |
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| 作者姓名： | 张文玲 马松华 陈晶晶 |
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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： | 国家自然科学基金(批准号:11375079);浙江省自然科学基金(批准号:Y6100257,Y6110140);浙江省教育厅科研基金(批准号:Y201120994)资助的课题~~ |
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| 摘 要： | 借助Maple符号计算软件,利用Pdccati方程(ζ′=a_0+a_1ζ+a_2ζ~2)展开法和变量分离法,得到了(2+1)维Korteweg-de Vries方程(KdV)包含q=C_1x+C_2y+C_3t+R(x,y,t)的复合波解,根据得到的孤立波解,构造出KdV方程新颖的复合波裂变和复合波湮灭等局域激发结构。
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| 关 键 词： | Riccati 方程展开法 Korteweg-de Vries 方程 复合波解 局域激发 |
| 收稿时间： | 2013-12-10 |
Complex wave solutions and localized excitations of (2+1)-dimensional korteweg-de Vries system |
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| Zhang Wen-Ling,Ma Song-Hua,Chen Jing-Jing.Complex wave solutions and localized excitations of (2+1)-dimensional korteweg-de Vries system[J].Acta Physica Sinica,2014,63(8):80506-080506. |
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| Authors: | Zhang Wen-Ling Ma Song-Hua Chen Jing-Jing |
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| Abstract: | With the help of the symbolic computation system Maple and Riccati equation (ξ’=a0+a1ξ+a2ξ2) expansion method and a variable separation method, some complex wave solutions with q=C1x+C2y+C3t+R(x,y,t) of the (2+1)-dimensional Korteweg-de Vries system is derived. Based on the derived solitary wave solution, some novel complex wave localized excitations such as complex wave fusion and complex wave annihilation are investigated.
Keywords：
Riccati equation expansion method
Korteweg-de Vries system
complex wave solutions
localized excitations |
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| Keywords: | Riccati equation expansion method Korteweg-de Vries system complex wave solutions localized excitations |
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