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Darboux operators for linear first-order multi-component equations in arbitrary dimensions
Authors:Axel Schulze-Halberg
Affiliation:1242. Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN, 46408, USA
Abstract:We construct Darboux operators for linear, multi-component partial differential equations of first order. The number of variables and the dimension of the matrix coefficients in our equations are arbitrary. The Darboux operator and the transformed equation are worked out explicitly. We present an application of our formalism to the (1+2)-dimensional Weyl equation.
Keywords:
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