Bidifferential Calculus, Matrix SIT and Sine-Gordon Equations

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

doi:10.14311/1352

Bidifferential Calculus, Matrix SIT and Sine-Gordon Equations

Authors

A. Dimakis
N. Kanning
F. Müller-Hoissen

DOI:

https://doi.org/10.14311/1352

Keywords:

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

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.

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Author Biographies

A. Dimakis

N. Kanning

F. Müller-Hoissen

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Published

2011-01-02

How to Cite

Dimakis, A., Kanning, N., & Müller-Hoissen, F. (2011). Bidifferential Calculus, Matrix SIT and Sine-Gordon Equations. Acta Polytechnica, 51(2). https://doi.org/10.14311/1352