| (2+1)维广义5阶KdV方程N-孤子解 |
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| 引用本文： | 孙福伟,高伟. (2+1)维广义5阶KdV方程N-孤子解[J]. 北方工业大学学报, 2014, 26(3): 47-52 |
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| 作者姓名： | 孙福伟 高伟 |
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| 作者单位： | 北方工业大学理学院,100144,北京;北方工业大学理学院,100144,北京 |
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| 摘 要： | 利用Hirota双线性方法研究了(2+1)维广义5阶KdV方程,得到了单孤子解、双孤子解和三孤子解.通过进一步分析得到N-孤子解析解的表达式.借助计算机符号计算得出多孤子演化图形,展示了多孤子之间的相互作用.
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| 关 键 词： | Hirota双线性方法 (2+1)维广义5阶KdV方程 N-孤子解 |
N-soliton Solution of the (2 + 1)-Dimensional Generalized Fifth-order KdV Equation |
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| Sun Fuwei,Gao Wei. N-soliton Solution of the (2 + 1)-Dimensional Generalized Fifth-order KdV Equation[J]. Journal of North China University of Technology, 2014, 26(3): 47-52 |
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| Authors: | Sun Fuwei Gao Wei |
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| Affiliation: | (Col. of Science, North China Univ. of Tech. , 100144, Beiiing, China) |
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| Abstract: | By the Hirota bilinear method, the （2-b-1）-dimensional generalized fifth-KdV equa- tion is investigated. The single soliton solution, double soliton solution and three soliton solution of the （2 ＋ 1）-dimensional generalized fifth-KdV equation are all obtained. By further analysis, N-soli- ton solution expression is obtained. Using the symbolic computation, the figures of the multiple- soliton solutions are drawn. This paper also shows the interaction between solitons. |
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| Keywords: | Hirota bilinear method the （2 ＋ 1）-dimensional generalized fifth-KdV equation N-soliton solution |
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