| 基于Maple系统的Riccati方程的自动求解 |
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| 引用本文： | 刘亦斌.基于Maple系统的Riccati方程的自动求解[J].泉州师范学院学报,2007,25(4):15-19. |
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| 作者姓名： | 刘亦斌 |
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| 作者单位： | 泉州师范学院,高职学院,福建,泉州,362000 |
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| 摘 要： | 利用非线性演化方程精确行波解的手工推导和计算的原理,结合计算机符号计算,在计算机代数系统Maple上,开发基于非线性代数方程组吴文俊消元法的非线性演化方程精确行波解的自动求解软件包,实现了非线性方程(组)的求解过程的完全自动化.
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| 关 键 词： | 非线性演化方程(组) 行波解 计算机代数系统Maple Riccati方程 |
| 文章编号： | 1009-8224（2007）04-0015-05 |
| 修稿时间： | 2007-01-13 |
The Implementation of Direct Algebraic Method Based on Riccati Equation in the Maple System |
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| LIU Yi-bin.The Implementation of Direct Algebraic Method Based on Riccati Equation in the Maple System[J].Journal of Quanzhou Normal College,2007,25(4):15-19. |
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| Authors: | LIU Yi-bin |
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| Institution: | Advanced Vocational and Technical Institute of Quanzhou Normal University,Fujian 362000,China |
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| Abstract: | Using the theory of calculation and manual deducing of exact theory wave solutions of nonlinear evolution equations,based on computerized symbolic computation and computer algebraic system,a package is developed to output directly the traveling wave solutions to a nonlinear differential equation,an automatic process of solution is completely achieved in nonlinear evolution equations. |
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| Keywords: | nonlinear evolution equation traveling wave solutions computer algebraic system maple Riccati equation |
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