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Matematicheskie Zametki, 2013, Volume 94, Issue 3, Pages 323–330
DOI: https://doi.org/10.4213/mzm10303 (Mi mzm10303) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Integrable Vector Isotropic Equations Admitting Differential Substitutions of First Order

M. Yu. Balakhnev

State University — Education-Science-Production Complex, Orel
Full-text PDF (471 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm10303
Abstract: A symmetry classification of integrable vector evolution equations of third order admitting Miura-type transformations is presented. We obtain the Bäcklund autotransformation for the new equation as well as differential substitutions relating the solutions of some integrable isotropic equations.
Keywords: integrable vector isotropic equation, Miura-type transformation, symmetry classification of integrable vector evolution equations, Bäcklund autotransformation, differential substitution.
Received: 30.03.2012
Revised: 19.10.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 3, Pages 307–313
DOI: https://doi.org/10.1134/S0001434613090010
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: M. Yu. Balakhnev, “Integrable Vector Isotropic Equations Admitting Differential Substitutions of First Order”, Mat. Zametki, 94:3 (2013), 323–330; Math. Notes, 94:3 (2013), 307–313
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm10303
  • https://doi.org/10.4213/mzm10303
  • https://www.mathnet.ru/eng/mzm/v94/i3/p323
    • This publication is cited in the following 3 articles:
    1. M. Yu. Balakhnev, “On symmetry classification of integrable evolution equations of third order”, Ufa Math. J., 16:1 (2024), 1–9  mathnet  crossref
    2. A. G. Meshkov, M. Yu. Balakhnev, “On a Class of Integrable Evolution Vector Equations of 3rd Order”, Math. Notes, 112:1 (2022), 93–99  mathnet  crossref  crossref  mathscinet
    3. M. Yu. Balakhnev, “Differential Substitutions for Vectorial Generalizations of the mKdV Equation”, Math. Notes, 98:2 (2015), 204–209  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:72
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