N. A. Lukashevich, “On the theory of Painlevé's second equation”, Differ. Uravn., 7:6 (1971), 1124

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Differentsial'nye Uravneniya, 1971, Volume 7, Number 6, Pages 1124–1125 (Mi de1305)

This article is cited in 8 scientific papers (total in 8 papers)

Short Communications

On the theory of Painlevé's second equation

N. A. Lukashevich

V. I. Lenin Belorusskii State University

Full-text PDF (183 kB) Citations (8)

Received: 01.07.1970

Bibliographic databases:

Document Type: Article

UDC: 517.925.6

Language: Russian

Citation: N. A. Lukashevich, “On the theory of Painlevé's second equation”, Differ. Uravn., 7:6 (1971), 1124–1125

Citation in format AMSBIB

\Bibitem{Luk71}

\by N.~A.~Lukashevich

\paper On the theory of Painlev\'e's second equation

\jour Differ. Uravn.

\yr 1971

\vol 7

\issue 6

\pages 1124--1125

\mathnet{http://mi.mathnet.ru/de1305}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=285754}

\zmath{https://zbmath.org/?q=an:0226.34004}

Linking options:

https://www.mathnet.ru/eng/de1305

https://www.mathnet.ru/eng/de/v7/i6/p1124

This publication is cited in the following 8 articles:

Nikolay A. Kudryashov, “Rational Solutions of Equations Associated with the Second Painlevé Equation”, Regul. Chaotic Dyn., 25:3 (2020), 273–280
D. Sierra-Porta, “Some algebraic approach for the second Painlevé equation using the optimal homotopy asymptotic method (OHAM)”, Num. Anal. Appl., 11:2 (2018), 170–177
Colin Rogers, Peter A. Clarkson, “Ermakov–Painlevé II Symmetry Reduction of a Korteweg Capillarity System”, SIGMA, 13 (2017), 018, 20 pp.
Nikolay A. Kudryashov, “Higher Painlevé Transcendents as Special Solutions of Some Nonlinear Integrable Hierarchies”, Regul. Chaotic Dyn., 19:1 (2014), 48–63
Pieter Roffelsen, “Irrationality of the Roots of the Yablonskii–Vorob'ev Polynomials and Relations between Them”, SIGMA, 6 (2010), 095, 11 pp.
P. A. Clarkson, E. L. Mansfield, H. N. Webster, “On the relation between the continuous and discrete Painlevé equations”, Theoret. and Math. Phys., 122:1 (2000), 1–16
A. V. Kitaev, “Elliptic asymptotics of the first and the second Painlevé transcendents”, Russian Math. Surveys, 49:1 (1994), 81–150
A. A. Kapaev, “Asymptotic expressions for the second Painlevй functions”, Theoret. and Math. Phys., 77:3 (1988), 1227–1234

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	252
Full-text PDF :	185
References:	1

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