| (2+1)维变系数KdV方程的新精确解 |
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| 引用本文： | 刘.(2+1)维变系数KdV方程的新精确解[J].宜春学院学报,2007,29(4):46-48,76. |
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| 作者姓名： | 刘 |
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| 作者单位： | 宜春职业技术学院 江西宜春336000 |
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| 摘 要： | 利用方程代换思想,对广义Riccati方程作变系数多项式展开,获得了(2 1)维变系数KdV方程的多种新精确解.相应地,亦得到近轴KdV方程的新精确解.
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| 关 键 词： | Riccati方程 变系数KdV方程 精确解 |
| 文章编号： | 1671-380X（2007）04-0046-03 |
| 收稿时间： | 2007-05-24 |
| 修稿时间： | 2007-05-24 |
New exact solutions of the (2+1)-dimensional KdV equation with variable coefficients |
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| LIU Mao-sheng.New exact solutions of the (2+1)-dimensional KdV equation with variable coefficients[J].Journal of Yichun University,2007,29(4):46-48,76. |
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| Authors: | LIU Mao-sheng |
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| Institution: | YiChun Vocational Technical College, Yichun Jiangxi 336000, China |
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| Abstract: | Along the idea of sub-equation,by performing variable coefficient polynomial expansion of the generalized Riccati equation,many families of new exact solutions of the(2 1)-dimensional KdV equation with variable coefficients are obtained.Consequently,the solutions of the nearly concentric KdV equation are also derived. |
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| Keywords: | generalized Riccati equation KdV equation with variable coefficients exact solutions |
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