Fine Structure of Matrix Darboux-Toda Integrable Mapping
A. N. Leznov, E. A. Yuzbashyan
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.
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