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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)(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)(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)(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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  • https://www.mathnet.ru/eng/tmf1841
  • https://doi.org/10.4213/tmf1841
  • https://www.mathnet.ru/eng/tmf/v144/i1/p153
    • This publication is cited in the following 6 articles:
    1. Palese M., Winterroth E., “Particle-Like, Dyx-Coaxial and Trix-Coaxial Lie Algebra Structures For a Multi-Dimensional Continuous Toda Type System”, Nucl. Phys. B, 960 (2020), 115187  crossref  mathscinet  isi
    2. Palese M., “Towers with Skeletons for the (2+1)-Dimensional Continuous Isotropic Heisenberg Spin Model”, Xxth International Conference on Integrable Systems and Quantum Symmetries (Isqs-20), Journal of Physics Conference Series, 411, eds. Burdik C., Navratil O., Posta S., IOP Publishing Ltd, 2013, 012024  crossref  isi  scopus  scopus
    3. Morozov O.I., “Contact Integrable Extensions and Differential Coverings for the Generalized (2+1)-Dimensional Dispersionless Dym Equation”, Cent. Eur. J. Math., 10:5 (2012), 1688–1697  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    4. Palese M., Winterroth E., “Constructing Towers with Skeletons From Open Lie Algebras and Integrability”, 7th International Conference on Quantum Theory and Symmetries (Qts7), Journal of Physics Conference Series, 343, IOP Publishing Ltd, 2012, 012091  crossref  isi  scopus  scopus
    5. Wang Deng-Shan, “Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation”, Appl. Math. Comput., 216:4 (2010), 1349–1354  crossref  mathscinet  zmath  isi  scopus  scopus
    6. Duan Xiao-Juan, Deng Ming, Zhao Wei-Zhong, Wu Ke, “The prolongation structure of the inhomogeneous equation of the reaction-diffusion type”, J. Phys. A, 40:14 (2007), 3831–3837  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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