Bidifferential calculus, matrix SIT and sine-Gordon equations

Details Bidifferential calculus, matrix SIT and sine-Gordon equations Bidifferential calculus, matrix SIT and sine-Gordon equations

2010-11-08

arxiv.org/abs/1011.1737v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, 2 figures, 19th International Colloquium on Integrable Systems and Quantum Symmetries (ISQS19), Prague, Czech Republi

Scientific paper

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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