Automated derivation of the conservation laws for nonlinear differential-difference equations

Jiaofeng Zhu; Yinping Liu

doi:10.1007/s11424-012-9297-z

Automated derivation of the conservation laws for nonlinear differential-difference equations

Jiaofeng Zhu^*
, Yinping Liu

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

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 effectiveness of CLawDDEs is demonstrated by application to different kinds of examples.

源语言	英语
页（从-至）	1234-1248
页数	15
期刊	Journal of Systems Science and Complexity
卷	25
期	6
DOI	https://doi.org/10.1007/s11424-012-9297-z
出版状态	已出版 - 12月 2012

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AB - 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 effectiveness of CLawDDEs is demonstrated by application to different kinds of examples.

KW - Automated derivation

KW - conservation laws

KW - differential-difference equations

KW - integrability

KW - scaling invariance

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Automated derivation of the conservation laws for nonlinear differential-difference equations

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