| 非线性Cahn-Hilliard方程的行波解 |
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| 引用本文： | 赵才地.非线性Cahn-Hilliard方程的行波解[J].武汉科技大学学报(自然科学版),2006,29(2):215-216. |
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| 作者姓名： | 赵才地 |
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| 作者单位： | 温州大学数学与信息科学学院,浙江,温州,325035 |
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| 基金项目： | 浙江省自然科学基金;温州大学校科研和教改项目 |
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| 摘 要： | 讨论非线性Cahn-Hilliard方程的行波解.应用双曲正切函数法得到了该方程精确的行波解.解的表达式表明这些行波解具有激波的性质,从而为解释相关物理现象提供了理论依据.
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| 关 键 词： | 行波解 双曲正切函数 非线性Cahn-Hilliard方程 |
| 文章编号： | 1672-3090(2006)02-0215-02 |
| 收稿时间： | 2005-04-27 |
| 修稿时间： | 2005年4月27日 |
Traveling-wave Solution to Non-linear Cahn-Hilliard Equation |
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| ZHAO Cai-di.Traveling-wave Solution to Non-linear Cahn-Hilliard Equation[J].Journal of Wuhan University of Science and Technology(Natural Science Edition),2006,29(2):215-216. |
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| Authors: | ZHAO Cai-di |
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| Institution: | School of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China |
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| Abstract: | This paper discusses the traveling-wave solution to the non-linear Cahn-Hilliard equation. By means of hyperbolic tangential functions, the author has arrived at the exact traveling-wave solution to the equation. The expression of the solution shows that the traveling-wave solution is characteristic of shock-wave, which has provided theoretical foundation for the explanation of relevant physical phenomena. |
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| Keywords: | traveling-wave solution hyperbolic tangential function non-linear Cahn-Hilliard equation |
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