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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 3, Pages 336–348
DOI: https://doi.org/10.4213/tmf907 (Mi tmf907) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Differential substitutions of the Miura transformation type

S. Ya. Startsev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (242 kB) Citations (19)
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DOI: https://doi.org/10.4213/tmf907
Abstract: The existence of a nontrivial integral and a sufficiently large set of symmetries with respect to one of the characteristics of a hyperbolic equation implies the existence of nontrivial integrals and symmetries with respect to the other characteristic. We classify differential substitutions of the form w=P(x,u,ux) relating families of evolution equations that depend on an arbitrary function. Among such substitutions, there are infinitely many pairwise-nonequivalent ones.
Received: 16.04.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 3, Pages 1001–1010
DOI: https://doi.org/10.1007/BF02557141
Bibliographic databases:
Language: Russian
Citation: S. Ya. Startsev, “Differential substitutions of the Miura transformation type”, TMF, 116:3 (1998), 336–348; Theoret. and Math. Phys., 116:3 (1998), 1001–1010
Citation in format AMSBIB
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    • This publication is cited in the following 19 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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    Abstract page:641
    Full-text PDF :256
    References:65
    First page:2
     
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