| 几个高阶非线性方程的显式精确解 |
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| 引用本文： | 谢元喜.几个高阶非线性方程的显式精确解[J].湖南理工学院学报,2014(2):1-5. |
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| 作者姓名： | 谢元喜 |
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| 作者单位： | 湖南理工学院 物理与电子学院,湖南 岳阳414006 |
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| 基金项目： | 国家自然科学基金（11172093） |
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| 摘 要： | 将一种求非线性方程显式精确解的新方法进行推广，并用它求得几个用通常的方法难以求解的高阶非线性方程的显式精确解。该方法也可用于构造其他非线性方程的显式精确解。
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| 关 键 词： | 新方法 显式精确解 CDGSK方程 Kuramoto-Sivashinsky方程 UNSO-KdV方程 |
Explicit Exact and Solutions for Several Higher-order Nonlinear Equations |
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| XIE Yuan-xi.Explicit Exact and Solutions for Several Higher-order Nonlinear Equations[J].Journal of Hunan Institute of Science and Technology,2014(2):1-5. |
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| Authors: | XIE Yuan-xi |
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| Institution: | XIE Yuan-xi (College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang, 414006, China) |
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| Abstract: | This paperhasobtained theexplicit and exact solutions for several higher-order nonlinear equations in usual ways by means of extending a new method for finding the explicit and exact solutions of nonlinear equations. The approach used herein can also be used to construct the explicit and exact solutions to other nonlinear equations. |
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| Keywords: | new method explicit and exact solution CDGSK equation Kuramoto-Sivashinsky equation UNSO-KdV equation |
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