Two-dimensional Toda-Heisenberg lattice

DOI10.3842/SIGMA.2013.044zbMATH Open1270.39006arXiv1302.0637OpenAlexW2151430181MaRDI QIDQ352530

Vadim E. Vekslerchik

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Abstract: We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this model as a bilinear system, which is closely related to the Ablowitz-Ladik hierarchy, and derive its N-soliton solutions.

Full work available at URL: https://arxiv.org/abs/1302.0637

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zbMATH Keywords

solitonHirota direct methodAblowitz-Ladik hierarchyclassical Heisenberg modelToda-like lattices

Mathematics Subject Classification ID

Statistical mechanics of magnetic materials (82D40) Matrices, determinants in number theory (11C20) Soliton solutions (35C08) Partial difference equations (39A14)

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