Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model

M.A. Kaashoek; A.L. Sakhnovich

doi:10.1016/j.jfa.2004.10.022

Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model

M.A. Kaashoek, A.L. Sakhnovich

Mathematics

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Abstract

A discrete analog of a skew self-adjoint canonical (Zakharov-Shabat or AKNS) system with a pseudo-exponential potential is introduced. For the corresponding Weyl function the direct and inverse problem are solved explicitly in terms of three parameter matrices. As an application explicit solutions are obtained for the discrete integrable nonlinear equation corresponding to the isotropic Heisenberg magnet model. State-space techniques from mathematical system theory play an important role in the proofs. © 2005 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	207-233
Journal	Journal of Functional Analysis
Volume	228
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2004.10.022
Publication status	Published - 2005

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MR2171789

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10.1016/j.jfa.2004.10.022

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AB - A discrete analog of a skew self-adjoint canonical (Zakharov-Shabat or AKNS) system with a pseudo-exponential potential is introduced. For the corresponding Weyl function the direct and inverse problem are solved explicitly in terms of three parameter matrices. As an application explicit solutions are obtained for the discrete integrable nonlinear equation corresponding to the isotropic Heisenberg magnet model. State-space techniques from mathematical system theory play an important role in the proofs. © 2005 Elsevier Inc. All rights reserved.

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DO - 10.1016/j.jfa.2004.10.022

M3 - Article

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VL - 228

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EP - 233

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model

Abstract

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