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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 3, Pages 528–536 (Mi tmf1619)  
This article is cited in 3 scientific papers (total in 3 papers)

Painlevé expansion and exact solution for nonlinear evolution equations

R. Sahadevan

University of Madras
Full-text PDF (646 kB) Citations (3)
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Abstract: It is shown that the truncated Painlevé expansion provides a systematic procedure to obtain exact as well as special solutions for nonlinear evolution equations. Several examples of nonintegrable equations both infinite and finite dimensions are illustrated.
English version:
Theoretical and Mathematical Physics, 1994, Volume 99, Issue 3, Pages 776–782
DOI: https://doi.org/10.1007/BF01017067
Bibliographic databases:
Language: Russian
Citation: R. Sahadevan, “Painlevé expansion and exact solution for nonlinear evolution equations”, TMF, 99:3 (1994), 528–536; Theoret. and Math. Phys., 99:3 (1994), 776–782
Citation in format AMSBIB
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\by R.~Sahadevan
\paper Painlev\'e expansion and exact solution for nonlinear evolution equations
\jour TMF
\yr 1994
\vol 99
\issue 3
\pages 528--536
\mathnet{http://mi.mathnet.ru/tmf1619}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1308820}
\zmath{https://zbmath.org/?q=an:0850.35118}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 3
\pages 776--782
\crossref{https://doi.org/10.1007/BF01017067}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PW12900023}
Linking options:
  • https://www.mathnet.ru/eng/tmf1619
  • https://www.mathnet.ru/eng/tmf/v99/i3/p528
    • This publication is cited in the following 3 articles:
    1. N. Varatharajan, Anirvan DasGupta, “The effect of perturbed advection on a class of solutions of a non-linear reaction-diffusion equation”, Applied Mathematics and Computation, 290 (2016), 33  crossref
    2. N. Varatharajan, Anirvan DasGupta, “Spectral stability of one-dimensional reaction–diffusion equation with symmetric and asymmetric potential”, Nonlinear Dyn, 80:3 (2015), 1257  crossref
    3. S. Yu. Vernov, “Constructing Solutions for the Generalized Hénon–Heiles System Through the Painlevé Test”, Theoret. and Math. Phys., 135:3 (2003), 792–801  mathnet  crossref  crossref  mathscinet  zmath  isi
    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
    Statistics & downloads:
    Abstract page:485
    Full-text PDF :122
    References:48
    First page:2
     
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