Noncommutative AKNS systems and multisoliton
solutions to the matrix sine-gordon equation
Cornelia Schiebold - Department of Natural Sciences, Engineering and Mathematics, Mid Sweden University, S-851 70 Sundsvall, Sweden (email)
Abstract: The main result is a very general solution formula for the noncommutative AKNS system, extending work by Bauhardt and Pöppe. As an application, we construct for the matrix sine-Gordon equation $N$-soliton solutions analogous to the multisoliton solutions for the KdV equation due to Goncharenko.
Keywords: Noncommutative integrable systems, matrix soliton solutions, operator equations
Received: June 2008; Revised: April 2009; Published: September 2009.