| 一类非线性扩散波方程的精确解 |
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| 引用本文： | 李薇,陈德华.一类非线性扩散波方程的精确解[J].安徽大学学报(自然科学版),2009,33(1). |
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| 作者姓名： | 李薇 陈德华 |
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| 作者单位： | 红河学院,数学系,云南,蒙自,661100 |
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| 基金项目： | 云南省教育厅自然科学基金 |
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| 摘 要： | 论文利用EXP-函数展开法,再次研究了一类非线性扩散波方程,获得了几种指数函数展开式型精确解,在一些特殊的参数条件下,这些指数函数展开式类型的解可以化为各种孤子解,包括孤立波解和纽子波等解.其中,这些指数函数展开式型的解与现有文献中该方程的解的结构是完全不相同的,是一些新类型的精确解.
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| 关 键 词： | 一类非线性扩散波方程 EXP-函数展开法 精确解 |
Exact solution of nonlinear dispersive wave equation |
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| LI Wei,CHEN De-hua.Exact solution of nonlinear dispersive wave equation[J].Journal of Anhui University(Natural Sciences),2009,33(1). |
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| Authors: | LI Wei CHEN De-hua |
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| Institution: | Department of Mathematics;Honghe University;Mengzi;661100;China |
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| Abstract: | In the paper,by using the EXP-function method,we studied a nonlinear dispersive wave equation again,we obtained some new types of exact solutions with expansion form of EXP-function.Under some special constants,these types of solutions with expansion form of EXP-function could be reduced to different kinds of soliton solutions including the solitary wave solutions and the kink wave solutions,etc.Where,these types of solutions with expansion form of EXP-function were different from those which were in the ex... |
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| Keywords: | nonlinear dispersive wave equation EXP-function method exact solution |
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