Bidifferential calculus, matrix SIT and sine-Gordon equations
classification
🌊 nlin.SI
math-phmath.MP
keywords
matrixsolutionsbidifferentialcalculusequationsexactresultsine-gordon
read the original 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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