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16 April 2024

» arxiv » 1011.1737

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Bidifferential calculus, matrix SIT and sine-Gordon equations
Aristophanes Dimakis ; Nils Kanning ; Folkert Mueller-Hoissen ;
Date:	8 Nov 2010
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.
Source:	arXiv, 1011.1737
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