Time-Dependent Symmetries of Variable-Coefficient Evolution Equations and Graded Lie Algebras
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
Polynomial-in-time dependent symmetries are analysed for polynomial-in-time dependent evolution equations. Graded Lie algebras, especially Virasoro algebras, are used to construct nonlinear variable-coefficient evolution equations, both in 1+1 dimensions and in 2+1 dimensions, which possess higher-degree polynomial-in-time dependent symmetries. The theory also provides a kind of new realisation of graded Lie algebras. Some illustrative examples are given.
Cite
@article{arxiv.solv-int/9705014,
title = {Time-Dependent Symmetries of Variable-Coefficient Evolution Equations and Graded Lie Algebras},
author = {W. X. Ma and R. K. Bullough and P. J. Caudrey and W. I. Fushchych},
journal= {arXiv preprint arXiv:solv-int/9705014},
year = {2009}
}
Comments
11 pages, latex, to appear in J. Phys. A: Math. Gen