Darboux operators for linear first-order multi-component equations in arbitrary dimensions

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 ap...

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Bibliographic Details
Published in:Central European journal of physics 2013-04, Vol.11 (4), p.457-469
Main Author: Schulze-Halberg, Axel
Format: Article
Language:English
Subjects:
Biological and Medical Physics
Biophysics
Darboux operator
Environmental Physics
Geophysics/Geodesy
intertwining relation
multi-component differential equation
Physical Chemistry
Physics
Physics and Astronomy
Research Article
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Summary: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.
ISSN:1895-1082
2391-5471
1644-3608
2391-5471
DOI:10.2478/s11534-013-0242-0