Fine Structure of Matrix Darboux-Toda Integrable Mapping
High Energy Physics - Theory
2009-10-30 v2 Exactly Solvable and Integrable Systems
Abstract
We show here that matrix Darboux-Toda transformation can be written as a product of a number of mappings. Each of these mappings is a symmetry of the matrix nonlinear Shrodinger system of integro-differential equations. We thus introduce a completely new type of discrete transformations for this system. The discrete symmetry of the vector nonlinear Shrodinger system is a particular realization of these mappings.
Cite
@article{arxiv.hep-th/9709007,
title = {Fine Structure of Matrix Darboux-Toda Integrable Mapping},
author = {A. N. Leznov and E. A. Yuzbashyan},
journal= {arXiv preprint arXiv:hep-th/9709007},
year = {2009}
}
Comments
5 pages, no figures