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AUTOMATED DERIVATION OF THE CONSERVATION LAWS FOR NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS

AUTOMATED DERIVATION OF THE CONSERVATION LAWS FOR NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS
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摘要 Based on Wu's elimination method and "divide-and-conquer" strategy, the undetermined coefficient algorithm to construct polynomial form conservation laws for nonlinear differential-difference equations (DDEs) is improved. Furthermore, a Maple package named CLawDDEs, which can entirely automatically derive polynomial form conservation laws of nonlinear DDEs is presented. The effective- ness of CLawDDEs is demonstrated by application to different kinds of examples.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2012年第6期1234-1248,共15页 系统科学与复杂性学报(英文版)
基金 supported by the National Natural Science Foundation of China under Grant Nos.10771072 and 11071274
关键词 Automated derivation conservation laws differential-difference equations integrability scaling invariance. 微分差分方程 非线性 守恒律 多项式形式 守恒定律 分而治之 吴消元法 算法构造
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