| 求非线性演化方程精确解的新方法 |
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| 引用本文： | 谢元喜. 求非线性演化方程精确解的新方法[J]. 湖南理工学院学报：自然科学版, 2006, 19(4): 40-46 |
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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信息系 湖南岳阳414000 |
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| 摘 要： | 通过对文献[10]中所提出的试探函数法进行改进,提出了一种求非线性演化方程精确解的新方法,并用该方法求得了几个非线性演化方程的许多显式精确解。该方法也可用于求解其它非线性演化方程。
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| 关 键 词： | 试探函数 非线性演化方程 显式精确解 |
| 文章编号： | 1672-5298（2006）04-040-07 |
| 收稿时间： | 2006-06-12 |
| 修稿时间： | 2006-06-12 |
New approach for solving nonlinear evolution equations |
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| XIE Yuan-xi. New approach for solving nonlinear evolution equations[J]. Journal of Hunan Institute of Science and Technology, 2006, 19(4): 40-46 |
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| Authors: | XIE Yuan-xi |
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| Abstract: | In this paper, we present a new approach to construct the exact solutions of nonlinear evolution equations by improving the trial function method proposed in Ref. [10]. As a result, a number of explicit and exact solutions to some nonlinear evolution equations of physical interest are obtained by means of this technique. The method used herein can be applied to solve other nonlinear evolution equations in nonlinear mathematical physics. |
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| Keywords: | trial function nonlinear evolution equation explicit and exact solution |
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