Schulze-Halberg, Axel2025-02-032025-02-032021Schulze-Halberg A. Higher-order Darboux transformations for two-dimensional Dirac systems with diagonal matrix potential. J Phys: Conf Ser. 2021;2090(1):012038. doi:10.1088/1742-6596/2090/1/012038https://hdl.handle.net/1805/45630We 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].en-USAttribution 4.0 InternationalTwo-dimensional Dirac equationDarboux transformationDiagonal matrix potentialHigher-order Darboux transformations for two-dimensional Dirac systems with diagonal matrix potentialArticle