Bidifferential Calculus, Matrix SIT and Sine-Gordon Equations

Acta Polytechnica

A. Dimakis¹  F. Müller-Hoissen¹  N. Kanning¹ 

关键词: bidifferential calculus;    integrable system;    self-induced transparency;    sine-Gordon;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

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.

【 授权许可】

Unknown