Abstract
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.
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This research was supported by the National Natural Science Foundation of China under Grant Nos. 10771072 and 11071274.
This paper was recommended for publication by Editor Ziming LI.
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Zhu, J., Liu, Y. Automated derivation of the conservation laws for nonlinear differential-difference equations. J Syst Sci Complex 25, 1234–1248 (2012). https://doi.org/10.1007/s11424-012-9297-z
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DOI: https://doi.org/10.1007/s11424-012-9297-z