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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 2, Pages 207–213
DOI: https://doi.org/10.4213/tmf6534 (Mi tmf6534) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Integrable vector evolution equations admitting zeroth-order conserved densities

M. Yu. Balakhnev, A. G. Meshkov

Orel State University for Technology, Orel, Russia
Full-text PDF (373 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6534
Abstract: In the symmetry approach framework, we solve the problem of classifying third-order integrable vector evolution equations that have zeroth-order conserved densities. We obtain the complete list of nine equations of this form. Two equations in the list were previously unknown. We find auto-Bäcklund transformations for the new equations.
Keywords: canonical density, integrable evolution equation, Bäcklund transformation.
Received: 27.10.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 2, Pages 1002–1007
DOI: https://doi.org/10.1007/s11232-010-0080-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Yu. Balakhnev, A. G. Meshkov, “Integrable vector evolution equations admitting zeroth-order conserved densities”, TMF, 164:2 (2010), 207–213; Theoret. and Math. Phys., 164:2 (2010), 1002–1007
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6534
  • https://doi.org/10.4213/tmf6534
  • https://www.mathnet.ru/eng/tmf/v164/i2/p207
    • 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, “Integrable Vector Isotropic Equations Admitting Differential Substitutions of First Order”, Math. Notes, 94:3 (2013), 307–313  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    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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    Full-text PDF :191
    References:69
    First page:4
     
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