Higher-order Darboux transformations for two-dimensional Dirac systems with diagonal matrix potential

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2021
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American English
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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].

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Schulze-Halberg A. Higher-order Darboux transformations for two-dimensional Dirac systems with diagonal matrix potential. J Phys: Conf Ser. 2021;2090(1):012038. doi:10.1088/1742-6596/2090/1/012038
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