GBDT of discrete skew-selfadjoint Dirac systems and explicit solutions of the corresponding non-stationary problems
Classical Analysis and ODEs
2020-07-03 v1 Dynamical Systems
Abstract
Generalized B\"acklund-Darboux transformations (GBDTs) of discrete skew-selfadjoint Dirac systems have been successfully used for explicit solving of direct and inverse problems of Weyl-Titchmarsh theory. During explicit solving of the direct and inverse problems, we considered GBDTs of the trivial initial systems. However, GBDTs of arbitrary discrete skew-selfadjoint Dirac systems are important as well and we introduce these transformations in the present paper. The obtained results are applied to the construction of explicit solutions of the interesting related non-stationary systems.
Keywords
Cite
@article{arxiv.1712.05984,
title = {GBDT of discrete skew-selfadjoint Dirac systems and explicit solutions of the corresponding non-stationary problems},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:1712.05984},
year = {2020}
}
Comments
This paper is a certain prolongation of the papers arXiv:math/0410438 and arXiv:1501.00395