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Symbolic Computations and Exact and Explicit Solutions of Some Nonlinear Evolution Equations in Mathematical Physics 被引量:1

Symbolic Computations and Exact and Explicit Solutions of Some Nonlinear Evolution Equations in Mathematical Physics
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摘要 在符号的计算系统 Mathematica 的帮助下,菲希尔的方程和 CKdV 方程的几个明确的解决方案被利用一个辅助方程方法构造,所谓的 G'/G-expansion 方法,解决方案的新、更一般的表格在哪儿,也构造。当参数作为特殊的值被拿时,以前已知的解决方案被恢复。 With the aid of symbolic computation system Mathematica, several explicit solutions for Fisher's equation and CKdV equation are constructed by utilizing an auxiliary equation method, the so called G′/G-expansion method, where the new and more general forms of solutions are also constructed. When the parameters are taken as special values, the previously known solutions are recovered.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第4期577-580,共4页 理论物理通讯(英文版)
关键词 非线性演化方程 符号计算系统 数学物理 精确解 FISHER KDV方程 辅助方程法 一般形式 auxiliary equation method, G′/G-expansion method, traveling wave solutions, fisher equation CKdV equation, exact solution
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