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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 2, Pages 193–200
DOI: https://doi.org/10.4213/tmf897 (Mi tmf897) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Equations invariant under differential substitutions

V. S. Novikov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (179 kB) Citations (3) English version article
DOI: https://doi.org/10.4213/tmf897
Abstract: The classification of differential autosubstitutions of the form $\hat u=G(u_x,u)$ that are allowed by general evolution equations with one spatial variable is considered. In the one-field case, every such substitution can be reduced to the autosubstitution $\hat u=u+u_x/u$ for the Burgers equation by a point transformation. This substitution is generalized to the two-field case.
Received: 05.03.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 2, Pages 890–895
DOI: https://doi.org/10.1007/BF02557131
Bibliographic databases:
Language: Russian
Citation: V. S. Novikov, “Equations invariant under differential substitutions”, TMF, 116:2 (1998), 193–200; Theoret. and Math. Phys., 116:2 (1998), 890–895
Citation in format AMSBIB
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\paper Equations invariant under differential substitutions
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    • This publication is cited in the following 3 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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