Browsing by Subject "Darboux transformation"
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Item Higher-order Darboux transformations for two-dimensional Dirac systems with diagonal matrix potential(IOP, 2021) Schulze-Halberg, Axel; Mathematical Sciences, School of ScienceWe 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].