2020/10/30 by Adam Doliwa, Runliang Lin, Zhe Wang · 1 citation
Physics and Astronomy · Mathematics · #nlin.SI #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8121/abd814
published as J. Phys. A: Math. Theor. 54 (2021) 054001 (22 pp.) · 17 pages
arxiv created 2020/10/30 · arxiv updated 2021/02/09
The discrete non-commutative Darboux system of equations with self-consistent sources is constructed, utilizing both the vectorial fundamental (binary Darboux) transformation and the method of additional independent variables. Then the symmetric reduction of discrete Darboux equations with sources is presented. In order to provide a simpler version of the resulting equations we introduce the τ/σ form of the (commutative) discrete Darboux system. Our equations give, in continuous limit, the version with self-consistent sources of the classical symmetric Darboux system.