Bidifferential Calculus, Matrix SIT and Sine-Gordon Equations

A. Dimakis, N. Kanning, F. Müller-Hoissen

Abstract


We express a matrix version of the self-induced transparency (SIT) equations in the bidifferential calculus framework. An infinite family of exact solutions is then obtained by application of a general result that generates exact solutions from solutions of a linear system of arbitrary matrix size. A side result is a solution formula for the sine-Gordon equation.

Keywords


bidifferential calculus; integrable system; self-induced transparency; sine-Gordon

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague