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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 94, Number 3, Pages 393–407 (Mi tmf1431)  
This article is cited in 2 scientific papers (total in 2 papers)

Multiphase and rational solutions of a family of nonlinear equations

N. A. Kudryashov

Moscow Engineering Physics Institute (State University)
Full-text PDF (1117 kB) Citations (2)
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Abstract: A family of nonlinear partial differential equations with solutions having moving poles of first order is studied. It is shown that, depending on the relationships between the coefficients of the equations, this family has multiphase and rational solutions or is integrable. The structure of the exact solutions of the nonintegrable equations is described, and the connection is established between the order of the original nonintegrable equation and the existence of a multiphase solution.
Received: 16.03.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 94, Issue 3, Pages 277–286
DOI: https://doi.org/10.1007/BF01017259
Bibliographic databases:
Language: Russian
Citation: N. A. Kudryashov, “Multiphase and rational solutions of a family of nonlinear equations”, TMF, 94:3 (1993), 393–407; Theoret. and Math. Phys., 94:3 (1993), 277–286
Citation in format AMSBIB
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\by N.~A.~Kudryashov
\paper Multiphase and rational solutions of a~family of nonlinear equations
\jour TMF
\yr 1993
\vol 94
\issue 3
\pages 393--407
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1226220}
\zmath{https://zbmath.org/?q=an:0799.35006}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 94
\issue 3
\pages 277--286
\crossref{https://doi.org/10.1007/BF01017259}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MA71000005}
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  • https://www.mathnet.ru/eng/tmf1431
  • https://www.mathnet.ru/eng/tmf/v94/i3/p393
    • This publication is cited in the following 2 articles:
    1. Nikolai A. Kudryashov, Nadejda B. Loguinova, “Be careful with the Exp-function method”, Communications in Nonlinear Science and Numerical Simulation, 14:5 (2009), 1881  crossref
    2. N. A. Kudryashov, V. A. Nikitin, “Regimes of a population density described by a nonlinear reaction-diffusion model”, J Eng Phys Thermophys, 69:2 (1996), 137  crossref
    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:405
    Full-text PDF :173
    References:68
    First page:1
     
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