| Exp函数法与Fisher方程新的精确解 |
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| 引用本文： | 王军帽,张睿,张文亮,张苗,韩家骅.Exp函数法与Fisher方程新的精确解[J].安徽大学学报(自然科学版),2009,33(1). |
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| 作者姓名： | 王军帽 张睿 张文亮 张苗 韩家骅 |
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| 作者单位： | 安徽大学,物理与材料科学学院,安徽,合肥,230039 |
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| 基金项目： | 安徽省科技厅年度重点基金，安徽省省级重点课程普通物理和省级精品课程建设基金 |
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| 摘 要： | 用exp函数法求解非线性方程的精确解非常简洁、有效,目前已经得到了广泛的应用.以Fisher方程为例,利用计算机代数系统,可以得到大量的精确解,其中包括孤波解.该方法简化了求解过程,并可以用来求解其他的非线性演化方程,如Schrdinger方程、KP方程等.
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| 关 键 词： | exp函数法 Fisher方程 精确解 |
Exp-function method and new exact solutions for Fisher equation |
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| WANG Jun-mao,ZHANG Rui,ZHANG Wen-liang,ZHANG Miao,HAN Jia-hua.Exp-function method and new exact solutions for Fisher equation[J].Journal of Anhui University(Natural Sciences),2009,33(1). |
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| Authors: | WANG Jun-mao ZHANG Rui ZHANG Wen-liang ZHANG Miao HAN Jia-hua |
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| Institution: | School of Physics and Material Science;Anhui University;Hefei 230039;China |
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| Abstract: | The exp-function method was very simple and straightforward for solving nonlinear equations.The Fisher equation was chosen to illustrate the effectiveness and convenience of the suggested method and we have gotten a lot of exact solutions by using it.This method also could be used to explore exact solutions for a large variety of nonlinear evolution equations. |
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| Keywords: | the exp-function method Fisher equation exact solutions |
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