Fine Structure of Matrix Darboux-Toda Integrable Mapping
arXiv:hep-th/9709007 · doi:10.1016/S0375-9601(98)00135-2
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.
5 pages, no figures