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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 1, Pages 153–161
DOI: https://doi.org/10.4213/tmf1841 (Mi tmf1841) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Backlund Loop Algebras for Compact and Noncompact Nonlinear Spin Models in $(2+1)$ Dimensions

M. Palese

University of Torino
Full-text PDF (240 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf1841
Abstract: We solve the Backlund problem for both the compact and noncompact versions of the Ishimori $(2+1)$-dimensional nonlinear spin model. In particular, we realize the arising Backlund algebra in the form of an infinite-dimensional loop Lie algebra of the Kac–Moody type.
Keywords: integrable systems, nonlinear spin models, prolongation algebras, Backlund transformations, Backlund–Cartan connections.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 1, Pages 1014–1021
DOI: https://doi.org/10.1007/s11232-005-0129-3
Bibliographic databases:
Language: Russian
Citation: M. Palese, “Backlund Loop Algebras for Compact and Noncompact Nonlinear Spin Models in $(2+1)$ Dimensions”, TMF, 144:1 (2005), 153–161; Theoret. and Math. Phys., 144:1 (2005), 1014–1021
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 1014--1021
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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