| 两个非线性发展方程精确解析解的研究 |
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| 引用本文： | 闫振亚,张鸿庆.两个非线性发展方程精确解析解的研究[J].应用数学和力学,2001,22(8):825-833. |
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| 作者姓名： | 闫振亚 张鸿庆 |
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| 作者单位： | 大连理工大学应用数学系, |
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| 基金项目： | 国家重点基础研究规划项目(G1998030
600);教育部博士点基金资助项目(98014119) |
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| 摘 要： | 对齐次平衡法进行了改进并将其应用于两个非线性发展方程中，通过一些新的假设，获得了若干精确解析解，这些解包含王和张的结论及其它新类型的解析解，如果理分式解和周期解，这种方法也可以应用于求解更多的非线性偏微分方程。
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| 关 键 词： | 非线性发展方程 齐次平衡法 周期解 精确解析解 孤波解 有理解 长波近似方程 |
| 文章编号： | 10000887(2001)080825-09 |
| 修稿时间： | 2000年4月7日 |
Study on Exact Analystical Solutions for TwoSystems of Nonlinear Evolution
Equations |
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| YAN Zhen_ya,ZHANG Hong_qing.Study on Exact Analystical Solutions for TwoSystems of Nonlinear Evolution
Equations[J].Applied Mathematics and Mechanics,2001,22(8):825-833. |
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| Authors: | YAN Zhen_ya ZHANG Hong_qing |
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| Abstract: | The homogeneous balance method was improved and applied to two systems of nonlinear evolution equations. As a result, several families of exact analytic solutions are derived by some new ansatzs. These solutions contain Wang's and Zhang's results and other new types of analytical solutions, such as rational fraction solutions and periodic solutions. The way can also be applied to solve more nonlinear partial differential equations. |
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| Keywords: | nonlinear evolution equations improved homogeneous balance method exact analytical solution solitary wave solution rational solution |
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