Integrable nonlinear field equations and loop algebra structures
solv-int
2016-09-08 v1 Condensed Matter
High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We apply the (direct and inverse) prolongation method to a couple of nonlinear Schr{\"o}dinger equations. These are taken as a laboratory field model for analyzing the existence of a connection between the integrability property and loop algebras. Exploiting a realization of the Kac-Moody type of the incomplete prolongation algebra associated with the system under consideration, we develop a procedure with allows us to generate a new class of integrable nonlinear field equations containing the original ones as a special case.
Cite
@article{arxiv.solv-int/9501008,
title = {Integrable nonlinear field equations and loop algebra structures},
author = {E. Alfinito and M. Leo and R. A. Leo and M. Palese and G. Soliani},
journal= {arXiv preprint arXiv:solv-int/9501008},
year = {2016}
}
Comments
13 pages, latex, no figures,