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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 139, Number 2, Pages 192–208
DOI: https://doi.org/10.4213/tmf55 (Mi tmf55) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Classification of Integrable Divergent $N$-Component Evolution Systems

A. G. Meshkova, V. V. Sokolovb

a Orel State University
b Landau Institute for Theoretical Physics, Centre for Non-linear Studies
Full-text PDF (275 kB) Citations (24)
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DOI: https://doi.org/10.4213/tmf55
Abstract: We use a symmetry approach to solve the classification problem for integrable $N$-component evolution systems having the form of conservation laws. We obtain complete lists of both isotropic and anisotropic systems of this type and find auto-Bдcklund transformations with a spectral parameter for all systems.
Keywords: symmetries, Bäcklund transformation, evolution equations.
Received: 22.04.2003
Revised: 21.05.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 139, Issue 2, Pages 609–622
DOI: https://doi.org/10.1023/B:TAMP.0000026179.16504.6c
Bibliographic databases:
Language: Russian
Citation: A. G. Meshkov, V. V. Sokolov, “Classification of Integrable Divergent $N$-Component Evolution Systems”, TMF, 139:2 (2004), 192–208; Theoret. and Math. Phys., 139:2 (2004), 609–622
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v139/i2/p192
    • This publication is cited in the following 24 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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