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 ...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.展开更多
基金supported by the National Natural Science Foundation of China under Grant Nos.10771072 and 11071274
文摘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.