On time-dependent symmetries and formal symmetries of evolution equations
solv-int
2017-09-29 v1 Mathematical Physics
Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present the explicit formulae, describing the structure of symmetries and formal symmetries of any scalar (1+1)-dimensional evolution equation. Using these results, the formulae for the leading terms of commutators of two symmetries and two formal symmetries are found. The generalization of these results to the case of system of evolution equations is also discussed.
Keywords
Cite
@article{arxiv.solv-int/9902002,
title = {On time-dependent symmetries and formal symmetries of evolution equations},
author = {Artur G. Sergyeyev},
journal= {arXiv preprint arXiv:solv-int/9902002},
year = {2017}
}
Comments
7 pages, Latex, no figures