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Matematicheskie Zametki, 2011, Volume 89, Issue 2, Pages 178–189
DOI: https://doi.org/10.4213/mzm6644 (Mi mzm6644) 		 
This article is cited in 2 scientific papers (total in 2 papers)

First-Order Differential Substitutions for Equations Integrable on $\mathbb S^n$

M. Yu. Balakhnev

Orel State Technical University
Full-text PDF (525 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm6644
Abstract: We determine necessary conditions under which integrable vector evolution equations of third order admit Miura-type transformations. For equations integrable on the $n$-dimensional sphere, we obtain first-order differential substitutions.
Keywords: vector evolution equation, Miura-type transformation, differential substitution, Bäcklund transformation, pseudosymmetry, Schwartz–KdV equation.
Received: 13.01.2009
Revised: 22.06.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 2, Pages 184–193
DOI: https://doi.org/10.1134/S000143461101024X
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: M. Yu. Balakhnev, “First-Order Differential Substitutions for Equations Integrable on $\mathbb S^n$”, Mat. Zametki, 89:2 (2011), 178–189; Math. Notes, 89:2 (2011), 184–193
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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