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Noncommutative AKNS systems and multisoliton solutions to the matrix sine-gordon equation

Pages: 678 - 690, Issue Special, September 2009

 Abstract        Full Text (186.5K)              

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
Mathematics Subject Classification:  Primary: 35Q51, 47J25, 35C05; Secondary: 35Q53, 35Q55

Received: June 2008;      Revised: April 2009;      Published: September 2009.