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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 147, Number 1, Pages 3–13
DOI: https://doi.org/10.4213/tmf2019 (Mi tmf2019) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Bäcklund correspondences for evolution equations in a multidimensional space

V. V. Zharinov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (167 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf2019
Abstract: Our objective is to develop a calculation technique that allows performing an effective algebro-geometric (group) analysis of partial differential equations with arbitrarily many independent variables. We completely describe an important class of multidimensional evolution equations admitting Bäcklund correspondences of a given form. In particular, this class is found to be rather wide, although it turns out to be somewhat richer in the one-dimensional case because the requirement that mixed derivatives be equal is absent.
Keywords: Bäcklund correspondences, evolution systems, differential constraints.
Received: 21.11.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 147, Issue 1, Pages 449–459
DOI: https://doi.org/10.1007/s11232-006-0053-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Bäcklund correspondences for evolution equations in a multidimensional space”, TMF, 147:1 (2006), 3–13; Theoret. and Math. Phys., 147:1 (2006), 449–459
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf2019
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    • This publication is cited in the following 3 articles:
    1. M. V. Neschchadim, A. A. Simonov, “Backlund transformations of the relativistic Schrodinger equation”, J. Appl. Industr. Math., 17:4 (2023), 828–841  mathnet  crossref  crossref
    2. M. V. Neshchadim, “Bäcklund transformations for the one-dimensional Schrödinger equation”, J. Appl. Industr. Math., 15:2 (2021), 307–314  mathnet  crossref  crossref  elib
    3. V. V. Zharinov, “Bäcklund transformations”, Theoret. and Math. Phys., 189:3 (2016), 1681–1692  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    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:509
    Full-text PDF :253
    References:64
    First page:3
     
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