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Differentsial'nye Uravneniya, 2002, Volume 38, Number 4, Pages 482–489 (Mi de10588)  
This article is cited in 8 scientific papers (total in 8 papers)

Partial Differential Equations

Group Classification of Nonlinear Evolutionary Equations: II. Invariance Under Solvable Groups of Local Transformations

A. A. Abramenkoa, V. I. Lahnoa, A. M. Samoilenkob

a Poltava State Pedagogical University named after Korolenko
b Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev
Full-text PDF (1108 kB) Citations (8)
Received: 30.07.2001
English version:
Differential Equations, 2002, Volume 38, Issue 4, Pages 502–509
DOI: https://doi.org/10.1023/A:1016307615221
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: A. A. Abramenko, V. I. Lahno, A. M. Samoilenko, “Group Classification of Nonlinear Evolutionary Equations: II. Invariance Under Solvable Groups of Local Transformations”, Differ. Uravn., 38:4 (2002), 482–489; Differ. Equ., 38:4 (2002), 502–509
Citation in format AMSBIB
\Bibitem{AbrLahSam02}
\by A.~A.~Abramenko, V.~I.~Lahno, A.~M.~Samoilenko
\paper Group Classification of Nonlinear Evolutionary Equations: II.~Invariance Under Solvable Groups of Local Transformations
\jour Differ. Uravn.
\yr 2002
\vol 38
\issue 4
\pages 482--489
\mathnet{http://mi.mathnet.ru/de10588}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2003589}
\transl
\jour Differ. Equ.
\yr 2002
\vol 38
\issue 4
\pages 502--509
\crossref{https://doi.org/10.1023/A:1016307615221}
Linking options:
  • https://www.mathnet.ru/eng/de10588
  • https://www.mathnet.ru/eng/de/v38/i4/p482
    Cycle of papers
    This publication is cited in the following 8 articles:
    1. Francesco Giglio, Giulio Landolfi, Luigi Martina, Andrea Zingarofalo, “Integrability properties and multi-kink solutions of a generalised Fokker–Planck equation”, J. Phys. A: Math. Theor., 58:16 (2025), 165202  crossref
    2. Francesco Giglio, Giulio Landolfi, Luigi Martina, “On solutions to a novel non-evolutionary integrable 1 + 1 PDE”, J. Phys. A: Math. Theor., 56:48 (2023), 485205  crossref
    3. Ding-jiang Huang, Shuigeng Zhou, “Group-Theoretical Analysis of Variable Coefficient Nonlinear Telegraph Equations”, Acta Appl Math, 117:1 (2012), 135  crossref
    4. Roman O. Popovych, Michael Kunzinger, Homayoon Eshraghi, “Admissible Transformations and Normalized Classes of Nonlinear Schrödinger Equations”, Acta Appl Math, 109:2 (2010), 315  crossref
    5. O. O. Vaneeva, R. O. Popovych, C. Sophocleous, “Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source”, Acta Appl Math, 106:1 (2009), 1  crossref
    6. Roman O Popovych, Anatoly M Samoilenko, “Local conservation laws of second-order evolution equations”, J. Phys. A: Math. Theor., 41:36 (2008), 362002  crossref
    7. V. Lahno, R. Zhdanov, O. Magda, “Group Classification and Exact Solutions of Nonlinear Wave Equations”, Acta Appl Math, 91:3 (2006), 253  crossref
    8. V. Lahno, R. Zhdanov, “Group classification of nonlinear wave equations”, Journal of Mathematical Physics, 46:5 (2005)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :65
    References:1
     
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