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.
| Original language | English |
|---|---|
| Pages (from-to) | 1234-1248 |
| Number of pages | 15 |
| Journal | Journal of Systems Science and Complexity |
| Volume | 25 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 2012 |
Keywords
- Automated derivation
- conservation laws
- differential-difference equations
- integrability
- scaling invariance