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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 1, Pages 24–34
DOI: https://doi.org/10.4213/tmf6661 (Mi tmf6661) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Classical and nonclassical symmetries for the Krichever–Novikov equation

M. S. Bruzón, M. L. Gandarias

Departamento de Matemáticas, Universidad de Cádiz, Cádiz, Spain
Full-text PDF (480 kB) Citations (19)
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DOI: https://doi.org/10.4213/tmf6661
Abstract: We study the Krichever–Novikov equation from the standpoint of the theory of symmetry reductions in partial differential equations. We obtain a Lie group classification. Moreover, we obtain some exact solutions, and we apply the nonclassical method.
Keywords: partial differential equation, symmetry, exact solution.
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 1, Pages 875–885
DOI: https://doi.org/10.1007/s11232-011-0073-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. S. Bruzón, M. L. Gandarias, “Classical and nonclassical symmetries for the Krichever–Novikov equation”, TMF, 168:1 (2011), 24–34; Theoret. and Math. Phys., 168:1 (2011), 875–885
Citation in format AMSBIB
\Bibitem{BruGan11}
\by M.~S.~Bruz\'on, M.~L.~Gandarias
\paper Classical and nonclassical symmetries for the~Krichever--Novikov equation
\jour TMF
\yr 2011
\vol 168
\issue 1
\pages 24--34
\mathnet{http://mi.mathnet.ru/tmf6661}
\crossref{https://doi.org/10.4213/tmf6661}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2021731}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011TMP...168..875B}
\transl
\jour Theoret. and Math. Phys.
\yr 2011
\vol 168
\issue 1
\pages 875--885
\crossref{https://doi.org/10.1007/s11232-011-0073-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79961163722}
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  • https://doi.org/10.4213/tmf6661
  • https://www.mathnet.ru/eng/tmf/v168/i1/p24
    • This publication is cited in the following 19 articles:
    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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    Full-text PDF :215
    References:51
    First page:21
     
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