| 一类非线性偏微分方程的显式精确解 |
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| 引用本文： | 谢元喜. 一类非线性偏微分方程的显式精确解[J]. 四川师范大学学报(自然科学版), 2007, 30(6): 691-695 |
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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： | 对谢元喜等(物理学报,2004,53(9):2828-2830.)所提出的方法进行了一些扩展,从而获得了一类非线性偏微分方程的大量显式精确解,包括孤波解、奇异行波解和三角函数型周期波解等,这种方法也可用于求解其它非线性偏微分方程.
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| 关 键 词： | 非线性偏微分方程 试探函数 孤波解 奇异行波解 三角函数型周期波解 |
| 文章编号： | 1001-8395（2007）06-0691-05 |
| 收稿时间： | 2006-05-19 |
| 修稿时间： | 2006-05-19 |
Explicit and Exact Solutions to a Class of Nonlinear Partial Differential Equations |
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| XIE Yuan-xi. Explicit and Exact Solutions to a Class of Nonlinear Partial Differential Equations[J]. Journal of Sichuan Normal University(Natural Science), 2007, 30(6): 691-695 |
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| Authors: | XIE Yuan-xi |
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| Abstract: | In this paper,we make some extensions of the approach proposed by Xie et al(Acta Phys Sin,2004,53(9):2828-2830.),and then by using it we are able to obtain many explicit and exact solutions to a class of nonlinear partial differential equations,including the solitary wave solutions,the singular traveling wave solutions,and the triangle function periodic solutions etc.The techniques used herein can also be applied to solve other nonlinear partial differential equations. |
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| Keywords: | Nonlinear partial differential equation Trial function Solitary wave solution Singular traveling wave solution Triangle function periodic solution |
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