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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 119, Number 3, Pages 419–428
DOI: https://doi.org/10.4213/tmf749 (Mi tmf749) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Conjugate chains of discrete symmetries in $(1+2)$ nonlinear equations

A. V. Yurov

Kaliningrad State University
Full-text PDF (191 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf749
Abstract: We construct dressing chains of discrete symmetries for the Kadomtsev–Petviashvili equations and show that these equations admit two types of chains, which we call conjugate. We discuss the scheme of constructing dressing chains for the Boiti–Leon–Pempinelli equations. We find a nonsingular solution of these equations that is exponentially localized along some directions in the dissipative plane and is rational along other directions.
Received: 21.10.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 119, Issue 3, Pages 731–738
DOI: https://doi.org/10.1007/BF02557383
Bibliographic databases:
Language: Russian
Citation: A. V. Yurov, “Conjugate chains of discrete symmetries in $(1+2)$ nonlinear equations”, TMF, 119:3 (1999), 419–428; Theoret. and Math. Phys., 119:3 (1999), 731–738
Citation in format AMSBIB
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    • This publication is cited in the following 4 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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    References:60
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