| 广义Riccati展开法及其在foam drainage方程中的应用 |
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| 引用本文： | 费琪. 广义Riccati展开法及其在foam drainage方程中的应用[J]. 纯粹数学与应用数学, 2012, 0(1): 109-112 |
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| 作者姓名： | 费琪 |
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| 作者单位： | 西北大学数学系;西北大学非线性中心 |
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| 基金项目： | 国家自然科学基金(10671156) |
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| 摘 要： | 应用双曲函数法结合Riccati方程,求得foam drainage方程的精确解.通过这种方法可以得到此方程的新的孤立波解与周期解,并且此方法可以用来求解其它许多的非线性演化方程.
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| 关 键 词： | 双曲函数法结合Riccati方程 行波解 foam drainage方程 |
Generalized Riccati equation expansion method and its application to the foam drainage equation |
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| Fei Qi. Generalized Riccati equation expansion method and its application to the foam drainage equation[J]. Pure and Applied Mathematics, 2012, 0(1): 109-112 |
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| Authors: | Fei Qi |
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| Affiliation: | Fei Qi(1.Department of Mathematics,Northwest University,Xi an 710127,China;2.Center for Nonlinear Studies,Northwest University,Xi an 710069,China) |
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| Abstract: | In this paper,the tanh-coth method combined with the Riccati equation is applied to the analysis of the foam drainage equation.We can gain new solitary wave solutions and periodic solutions.It is also a promising method to solve other nonlinear evolution equations. |
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| Keywords: | the tanh-coth method combined with the Riccati equation travelling wave the foam drainage equation |
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