Bidifferential calculus, matrix SIT and sine-Gordon equations
Exactly Solvable and Integrable Systems
2010-11-09 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1011.1737,
title = {Bidifferential calculus, matrix SIT and sine-Gordon equations},
author = {Aristophanes Dimakis and Nils Kanning and Folkert Mueller-Hoissen},
journal= {arXiv preprint arXiv:1011.1737},
year = {2010}
}
Comments
7 pages, 2 figures, 19th International Colloquium on Integrable Systems and Quantum Symmetries (ISQS19), Prague, Czech Republic, June 2010