| 组合KdV-mKdV方程的Jacobi椭圆函数解 |
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| 引用本文： | 潘军廷,龚伦训.组合KdV-mKdV方程的Jacobi椭圆函数解[J].物理学报,2007,56(10):5585-5590. |
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| 作者姓名： | 潘军廷 龚伦训 |
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| 作者单位： | 贵州师范大学理学院,贵阳,550001 |
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| 基金项目： | 贵州省科学技术基金(批准号：20072009)资助的课题. |
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| 摘 要： | 对第一类椭圆方程进行新形式的函数展开，构造出非线性波动方程新的Jacobi椭圆函数解.将该方法应用于组合KdV-mKdV方程，得到方程新的Jacobi椭圆函数解，并列出一些具体的解和作出相应的图形.
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| 关 键 词： | 第一类椭圆方程 Jacobi椭圆函数 组合KdV-mKdV方程 行波解 |
| 收稿时间： | 9/6/2006 12:00:00 AM |
| 修稿时间： | 2006-09-06 |
Jacobi elliptic function solutions to the coupled KdV-mKdV equation |
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| Pan Jun-Ting,Gong Lun-Xun.Jacobi elliptic function solutions to the coupled KdV-mKdV equation[J].Acta Physica Sinica,2007,56(10):5585-5590. |
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| Authors: | Pan Jun-Ting Gong Lun-Xun |
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| Institution: | School of Science, Guizhou Normal University, Guiyang 550001, China |
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| Abstract: | Based on the new expansion of the first kind of elliptic function, a method for constructing Jacobi elliptic function solutions to nonlinear wave equations is p roposed. The method is applied to the coupled KdV-mKdV equation and some new Jacobi elliptic function solutions to the equation are obtained. Some specific kind s of solutions and their relevant figures are also presented. |
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| Keywords: | elliptic function of the first kind Jacobi elliptic functions coupled KdV-mKdV equation travelling wave solutions |
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