| 变系数广义KdV方程新的类孤波解和精确解 |
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| 引用本文： | 毛杰健,杨建荣.变系数广义KdV方程新的类孤波解和精确解[J].物理学报,2007,56(9):5049-5053. |
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| 作者姓名： | 毛杰健 杨建荣 |
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| 作者单位： | 江西上饶师范学院物理系，上饶 334001 |
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| 摘 要： | 用普通KdV方程作变换，构造变系数广义KdV方程的解，获得了变系数广义KdV方程新的Jacobi椭圆函数精确解、类孤波解、三角函数解和Weierstrass椭圆函数解.
关键词：
KdV方程
变系数广义KdV方程
类孤波解
精确解
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| 关 键 词： | KdV方程 变系数广义KdV方程 类孤波解 精确解 |
| 文章编号： | 1000-3290/2007/56(09)/5049-05 |
| 收稿时间： | 2006-11-03 |
| 修稿时间： | 2006-11-03 |
New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation |
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| Mao Jie-Jian,Yang Jian-Rong.New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation[J].Acta Physica Sinica,2007,56(9):5049-5053. |
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| Authors: | Mao Jie-Jian Yang Jian-Rong |
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| Institution: | Department of Physics, Shangrao Normal College, Shangrao 334001, China |
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| Abstract: | By the transforming with general KdV equation, the solutions of the variable coefficient generalized KdV equation are constructed firstly. As a result, we successfully obtain the new exact Jacobi elliptic function solutions, solitary-wave-like solutions, trigonometric function solutions and Weierstrass elliptic function solutions of variable coefficient generalized KdV equation. |
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| Keywords: | KdV equation variable coefficient generalized KdV equation solitary-wave-like solution exact solution |
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