Multicomponent Nonlinear Evolution Equations of the Heisenberg Ferromagnet Type. Local versus Nonlocal Reductions

2020/11/26 by Valchev, Tihomir
#35G50 #37K10 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2011.13437

Abstract

The paper is dedicated to a system of matrix nonlinear evolution equations related to a Hermitian symmetric space of the type A.III. The system under consideration extends the 1+1 dimensional Heisenberg ferromagnet equation in the sense that its Lax pair has a form rather similar to the pair of the original Heisenberg ferromagnet model. We shall present here certain local and nonlocal reductions. A local integrable deformation and some of its reductions will be discussed too.

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