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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 044, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.044 (Mi sigma827) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Two-Dimensional Toda–Heisenberg Lattice

Vadim E. Vekslerchik

Institute for Radiophysics and Electronics of NAS of Ukraine, 12, Proskura Str., Kharkiv, 61085, Ukraine
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DOI: https://doi.org/10.3842/SIGMA.2013.044
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.
Keywords: classical Heisenberg model; Toda-like lattices; Hirota direct method; Ablowitz–Ladik hierarchy; soliton.
Received: February 6, 2013; in final form June 4, 2013; Published online June 12, 2013
Bibliographic databases:
Document Type: Article
MSC: 39A14; 82D40; 35C08; 11C20
Language: English
Citation: Vadim E. Vekslerchik, “Two-Dimensional Toda–Heisenberg Lattice”, SIGMA, 9 (2013), 044, 16 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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