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Quasideterminant solutions of the generalized Heisenberg magnet model
Heisenberg magnet Lie group SU(2)
2010/4/7
In this paper we present Darboux transformation for the generalized Heisenberg magnet (GHM) model based on general linear Lie group GL(n) and construct multi-soliton solutions in terms of quasidetermi...
Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation
twisted derivation super KdV equation quasideterminant solutions
2010/4/7
This paper is concerned with a generalized type of Darboux transformations defined in terms of a twisted derivation $D$ satisfying $D(AB)=D(A)+\sigma(A)B$ where $\sigma$ is a homomorphism. Such twiste...