Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation

Details Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation

2007-11-16

arxiv.org/abs/0711.2594v2

Proc.Roy.Soc.Lond.A464:951-966,2008

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages; 4 pictures

Scientific paper

10.1098/rspa.2007.0321

Two families of solutions of a generalized non-Abelian Toda lattice are considered. These solutions are expressed in terms of quasideterminants, constructed by means of Darboux and binary Darboux transformations. As an example of the application of these solutions, we consider the 2-periodic reduction to a matrix sine-Gordon equation. In particular, we investigate the interaction properties of polarized kink solutions.

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