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Matematicheskie Zametki, 2015, Volume 98, Issue 2, Pages 173–179
DOI: https://doi.org/10.4213/mzm10414 (Mi mzm10414) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differential Substitutions for Vectorial Generalizations of the mKdV Equation

M. Yu. Balakhnev

Orel State University
Full-text PDF (424 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm10414
Abstract: Differential substitutions of arbitrary order for vectorial generalizations of the mKdV equation are considered. The fact that these equations admit only substitutions of the form $\boldsymbol u=F(\boldsymbol v,\boldsymbol v_x)$ is established.
Keywords: mKdV equation, vectorial generalization for the mKdV equation, differential substitution, Bäcklund transformation.
Received: 12.09.2013
Revised: 16.01.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 2, Pages 204–209
DOI: https://doi.org/10.1134/S0001434615070202
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: M. Yu. Balakhnev, “Differential Substitutions for Vectorial Generalizations of the mKdV Equation”, Mat. Zametki, 98:2 (2015), 173–179; Math. Notes, 98:2 (2015), 204–209
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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