Open AccessHigher-order Darboux transformations for two-dimensional Dirac systems with diagonal matrix potential
Author(s) -
Axel Schulze-Halberg
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012038
Subject(s) - diagonal , matrix (chemical analysis) , dirac (video compression format) , mathematics , diagonal matrix , order (exchange) , dirac equation , darboux integral , construct (python library) , dirac algebra , mathematical physics , pure mathematics , algebra over a field , mathematical analysis , physics , quantum mechanics , geometry , computer science , chemistry , finance , chromatography , curvature , neutrino , economics , programming language
We construct the explicit form of higher-order Darboux transformations for the two-dimensional Dirac equation with diagonal matrix potential. The matrix potential entries can depend arbitrarily on the two variables. Our construction is based on results for coupled Korteweg-de Vries equations [27].