| Fisher方程的精确行波解 |
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| 引用本文： | 郭秀荣. Fisher方程的精确行波解[J]. 洛阳大学学报, 2006, 21(2): 9-10 |
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| 作者姓名： | 郭秀荣 |
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| 作者单位： | 山东科技大学泰安校区,公共课部,山东,泰安,271019 |
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| 基金项目： | 国家自然科学基金资助项目(项目编号:10471139) |
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| 摘 要： | 利用带参数的R iccati方程,求出了Fisher方程的双曲正切、双曲余切及其三角函数形式的孤波解.所用方法是齐次平衡法与待定系数法,这种方法可应用于求其他孤子方程的行波解.
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| 关 键 词： | Fisher方程 行波解 齐次平衡法 |
| 文章编号： | 1007-113X（2006）02-0009-02 |
| 收稿时间： | 2006-04-25 |
| 修稿时间： | 2006-04-25 |
The Exact Traveling Solutions of the Fisher Equation |
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| GUO Xiu-rong. The Exact Traveling Solutions of the Fisher Equation[J]. Journal of Luoyang University, 2006, 21(2): 9-10 |
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| Authors: | GUO Xiu-rong |
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| Abstract: | Using the Riccati equation with a parameter,the tan-solutions of travelling,cot-solutions of traveling and the triangular traveling solutions to the Fisher equation are obtained,respectively.The approaches which are taken present the Homogeneous balance method and the undetermined coefficient method.Applying the approaches to the other soliton equations could generate their traveling solutions. |
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| Keywords: | Fisher equation traveling solution homogeneous balance method |
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