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Matematicheskie Zametki, 2006, Volume 80, Issue 3, Pages 465–468
DOI: https://doi.org/10.4213/mzm2833 (Mi mzm2833) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Brief Communications

Integrable main resonance equations

Yu. Yu. Bagderina

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (327 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm2833
Keywords: main resonance equations, parametric resonance, ordinary differential equation with cubic nonlinearity, Painlevé test, Abel equation of the second type.
Received: 07.03.2006
Revised: 05.05.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 3, Pages 442–446
DOI: https://doi.org/10.1007/s11006-006-0158-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. Yu. Bagderina, “Integrable main resonance equations”, Mat. Zametki, 80:3 (2006), 465–468; Math. Notes, 80:3 (2006), 442–446
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v80/i3/p465
    • This publication is cited in the following 5 articles:
    1. Yu. Yu. Bagderina, “Point equivalence of second-order ordinary differential equations to the fifth Painlevé equation with one and two nonzero parameters”, Theoret. and Math. Phys., 202:3 (2020), 295–308  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. Bagderina Yu.Yu., Tarkhanov N.N., “Solution of the Equivalence Problem For the Third Painlevé Equation”, J. Math. Phys., 56:1 (2015), 013507  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. R. N. Garifullin, “Autoresonance excitation of a soliton of the nonlinear Schrödinger equation”, Proc. Steklov Inst. Math. (Suppl.), 281, suppl. 1 (2013), 59–63  mathnet  crossref  isi  elib
    4. L. A. Kalyakin, “Existence Theorems and Estimates of Solutions for Equations of Principal Resonance”, Journal of Mathematical Sciences, 200:1 (2014), 82–95  mathnet  mathnet  crossref
    5. L. A. Kalyakin, “Asymptotic analysis of autoresonance models”, Russian Math. Surveys, 63:5 (2008), 791–857  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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