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Bidifferential calculus, matrix SIT and Sine-Gordon equations

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Kanning,  Nils
Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Müller-Hoissen,  Folkert
Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Dimakis, A., Kanning, N., & Müller-Hoissen, F. (2011). Bidifferential calculus, matrix SIT and Sine-Gordon equations. Acta Polytechnica, 51(1), 33-37. Retrieved from http://ctn.cvut.cz/ap/download.php?id=571.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-11ED-2
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.