Classical Lie symmetries and reductions of a nonisospectral Lax pair
Exactly Solvable and Integrable Systems
2011-09-27 v2 Pattern Formation and Solitons
Abstract
The classical Lie method is applied to a nonisospectral problem associated with a system of partial differential equations in 2+1 dimensions (Maccari A, J. Math. Phys. 39, (1998), 6547-6551). Identification of the classical Lie symmetries provides a set of reductions that give rise to different nontrivial spectral problems in 1+1 dimensions. The form in which the spectral parameter of the 1+1 Lax pair is introduced is carefully described.
Keywords
Cite
@article{arxiv.1102.4687,
title = {Classical Lie symmetries and reductions of a nonisospectral Lax pair},
author = {P. G. Estevez and M. L. Gandarias and J. de Lucas},
journal= {arXiv preprint arXiv:1102.4687},
year = {2011}
}
Comments
11 pages (v2: A typo corrected in the authors' names)