Painlevé Property and Integrability

What Is Integrability? - Springer Series in Nonlinear Dynamics ◽

10.1007/978-3-642-88703-1_2 ◽

1991 ◽

pp. 63-72 ◽

Author(s):

N. Ercolani ◽

E. D. Siggia

Keyword(s):

Painlevé Property

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On the Painlevé Property of Isomonodromic Deformations of Fuchsian Systems

Acta Applicandae Mathematicae ◽

10.1007/s10440-008-9189-3 ◽

2008 ◽

Vol 101 (1-3) ◽

pp. 255-263 ◽

Author(s):

Vladimir Poberezhny

Keyword(s):

Isomonodromic Deformations ◽

Painlevé Property ◽

Fuchsian Systems

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Integrable 3-Dimensional Dynamical Systems and the Painlevé Property

Predictability, Stability, and Chaos in N-Body Dynamical Systems - NATO ASI Series ◽

10.1007/978-1-4684-5997-5_51 ◽

1991 ◽

pp. 555-563

Author(s):

C. Polymilis

Keyword(s):

Dynamical Systems ◽

3 Dimensional ◽

Painlevé Property

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On the extension of the Painlevé property to difference equations

Nonlinearity ◽

10.1088/0951-7715/13/3/321 ◽

2000 ◽

Vol 13 (3) ◽

pp. 889-905 ◽

Author(s):

M J Ablowitz ◽

R Halburd ◽

B Herbst

Keyword(s):

Difference Equations ◽

Painlevé Property

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On the use of the Painlevé property for obtaining miura type transformation

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02006101 ◽

1991 ◽

Vol 7 (2) ◽

pp. 150-164

Author(s):

Yunbo Zeng

Keyword(s):

Type Transformation ◽

Painlevé Property

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On the absence of the Painlevé property in Petrov type III Robinson–Trautman solutions

Journal of Mathematical Physics ◽

10.1063/1.530370 ◽

1993 ◽

Vol 34 (10) ◽

pp. 4755-4759

Author(s):

A. Garcia‐Díaz ◽

J. F. Plebański ◽

N. R. Sibgatullin

Keyword(s):

Petrov Type ◽

Type Iii ◽

Painlevé Property

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Painlevé Property and Integrability

Nonlinear Evolution and Chaotic Phenomena - NATO ASI Series ◽

10.1007/978-1-4613-1017-4_8 ◽

1988 ◽

pp. 111-119

Author(s):

Eric D. Siggia

Keyword(s):

Painlevé Property

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Invariance of Painlevé property for some reduced (1+1)-dimensional equations

Chinese Physics B ◽

10.1088/1674-1056/22/11/110203 ◽

2013 ◽

Vol 22 (11) ◽

pp. 110203 ◽

Author(s):

Hong-Yan Zhi ◽

Hui Chang

Keyword(s):

Painlevé Property

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On the integrable variant of the boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(88)90095-4 ◽

1988 ◽

Vol 30 (1-2) ◽

pp. 1-27 ◽

Author(s):

Robert L. Sachs

Keyword(s):

Boussinesq System ◽

Body System ◽

Many Body ◽

Rational Solutions ◽

Akns Hierarchy ◽

Painlevé Property

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Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: A Review and Extensions of Tests for the Painlevé Property

Integrability of Nonlinear Systems - Lecture Notes in Physics ◽

10.1007/978-3-540-40962-5_6 ◽

2004 ◽

pp. 175-208 ◽

Author(s):

Martin D. Kruskal ◽

Nalini Joshi ◽

Rod Halburd

Keyword(s):

Asymptotic Methods ◽

Singularity Analysis ◽

Painlevé Property

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Properties of solutions of two second-order differential equations with the Painlevé property

Theoretical and Mathematical Physics ◽

10.1134/s0040577921030041 ◽

2021 ◽

Vol 206 (3) ◽

pp. 315-320

Author(s):

V. V. Tsegel’nik

Keyword(s):

Differential Equations ◽

Second Order ◽

Second Order Differential Equations ◽

Painlevé Property

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