| 广义KdV—Burgers方程的势对称和不变解 |
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| 引用本文： | 朱永平,吉飞宇,陈晓艳.广义KdV—Burgers方程的势对称和不变解[J].纯粹数学与应用数学,2013(2):164-171. |
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| 作者姓名： | 朱永平 吉飞宇 陈晓艳 |
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| 作者单位： | [1]西北大学数学系,陕西西安710127 [2]西安建筑科技大学理学院,陕西西安710055 |
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| 基金项目： | 国家自然科学基金f10671156）. |
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| 摘 要： | 用微分形式的吴方法讨论了广义KdV—Burgers方程不同系数情况下的势对称，并且利用这些对称求得了相应的不变解，这些解对进一步研究广义KdV—Burgers方程所描述的物理现象具有重要意义．
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| 关 键 词： | KdV—Burgers方程 微分形式的吴方法 势对称 不变解 |
Potential symmetries and invariant solutions of generalized KdV - Burgers equation |
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| Zhu Yongping,Ji feiyu,Chen Xiaoyan.Potential symmetries and invariant solutions of generalized KdV - Burgers equation[J].Pure and Applied Mathematics,2013(2):164-171. |
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| Authors: | Zhu Yongping Ji feiyu Chen Xiaoyan |
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| Institution: | 1 (1. Department of Mathematics, Northewest University, Xi＇an 710127, China; 2. School of Science, Xi/an University of Architecture and Technology, Xi＇an 710055, China) |
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| Abstract: | In this paper, the symmetries of generalized KdV - Burgers equation with different coefficients axe discussed with the help of Wus method in differential forms. And new potential symmetries are obtained. Furthermore, the corresponding invariant solutions can be obtained by using the above symmetries. The solutions have are of great importance to further researching the physical phenomena described by generalized KdV - Burgers equation. |
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| Keywords: | KdV - Burgers equation Wu＇s method in differential forms potential symmetries invariant solutions |
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