非线性微分-差分方程守恒律、广义对称性和递归算子的符号计算
数学物理
2011-04-26 v1 符号计算
偏微分方程分析
math.MP
可精确求解与可积系统
摘要
提出了用于非线性微分-差分方程（DDEs）系统的多项式守恒律、广义对称性和递归算子的符号计算算法。这些算法可用于检验非线性DDEs的完全可积性。以普遍存在的Toda晶格为例说明了算法步骤，这些算法已在{\em Mathematica}中实现。代码{\sc InvariantsSymmetries.m}和{\sc DDERecursionOperator.m}可帮助对非线性DDEs性质感兴趣的研究人员。
引用
@article{arxiv.1104.4582,
title = {Symbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations},
author = {Ünal Göktaş and Willy Hereman},
journal= {arXiv preprint arXiv:1104.4582},
year = {2011}
}
备注
16 pages, will appear as Chapter 7 in a Springer Book entitled "Nonlinear Systems and Methods For Mechanical, Electrical and Biosystems" with editors: Albert Luo, J.A. Tenreiro Machado and Dumitru Baleanu, expected to be published in 2011