Ricci-flat warped products and Painlevé analysis

Andrew Dancer; McKenzie Y. Wang

doi:10.1063/1.1380441

Ricci-flat warped products and Painlevé analysis

Journal of Mathematical Physics ◽

10.1063/1.1380441 ◽

2001 ◽

Vol 42 (8) ◽

pp. 3609-3614 ◽

Cited By ~ 2

Author(s):

Andrew Dancer ◽

McKenzie Y. Wang

Keyword(s):

Painlevé Analysis ◽

Warped Products ◽

Ricci Flat ◽

Painleve Analysis

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Painlevé analysis of the Ricci-flat ordinary differential equations associated with Aloff–Wallach spaces and U(1)-bundles over Fano products

Journal of Mathematical Physics ◽

10.1063/1.1584207 ◽

2003 ◽

Vol 44 (8) ◽

pp. 3383-3406 ◽

Cited By ~ 1

Author(s):

Andrew Dancer ◽

McKenzie Y. Wang

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Painlevé Analysis ◽

Ricci Flat ◽

Painleve Analysis

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Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.110559 ◽

2021 ◽

Vol 144 ◽

pp. 110559

Author(s):

Fei-Yan Liu ◽

Yi-Tian Gao ◽

Xin Yu ◽

Cui-Cui Ding ◽

Gao-Fu Deng ◽

...

Keyword(s):

Fluid Mechanics ◽

Plasma Physics ◽

Lie Group ◽

Group Analysis ◽

Hyperbolic Function ◽

Painlevé Analysis ◽

Lie Group Analysis ◽

Rational Solutions ◽

De Vries ◽

Painleve Analysis

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Painleve analysis and Backlund transformations of Doktorov-Vlasov equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/27/2/006 ◽

1994 ◽

Vol 27 (2) ◽

pp. L33-L38 ◽

Cited By ~ 3

Author(s):

S Yu Sakovich

Keyword(s):

Bäcklund Transformations ◽

Painlevé Analysis ◽

Vlasov Equations ◽

Backlund Transformations ◽

Painleve Analysis

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Painlevé analysis and exact solutions of two dimensional Korteweg-de Vries-Burgers equation

Pramana ◽

10.1007/bf02848585 ◽

1996 ◽

Vol 46 (1) ◽

pp. 1-8 ◽

Cited By ~ 3

Author(s):

M P Joy

Keyword(s):

Exact Solutions ◽

Burgers Equation ◽

Painlevé Analysis ◽

Two Dimensional ◽

De Vries ◽

Painleve Analysis

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Hydrodynamic Foundation and Painlevé Analysis of Hirota-Satsuma-Type Equations

Journal of the Physical Society of Japan ◽

10.1143/jpsj.63.1289 ◽

1994 ◽

Vol 63 (4) ◽

pp. 1289-1294 ◽

Cited By ~ 16

Author(s):

Aurea Espinosa ◽

Jorge Fujioka

Keyword(s):

Painlevé Analysis ◽

Painleve Analysis

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Painlevé analysis of the Calogero-Degasperis-Fokas equation

Physics Letters A ◽

10.1016/0375-9601(85)90133-1 ◽

1985 ◽

Vol 113 (4) ◽

pp. 177-178 ◽

Cited By ~ 7

Author(s):

L. Hlavatý

Keyword(s):

Painlevé Analysis ◽

Painleve Analysis

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Painlevé analysis and normal forms

Computer Algebra and Differential Equations ◽

10.1017/cbo9780511565816.008 ◽

1994 ◽

pp. 211-238 ◽

Cited By ~ 4

Author(s):

L. Brenig ◽

A. Goriely

Keyword(s):

Normal Forms ◽

Painlevé Analysis ◽

Painleve Analysis

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Bäcklund transformations from painlevé analysis

Glasgow Mathematical Journal ◽

10.1017/s0017089501000027 ◽

2001 ◽

Vol 43 (A) ◽

pp. 9-21 ◽

Cited By ~ 2

Author(s):

Robert Conte ◽

Micheline Musette

Keyword(s):

Bäcklund Transformations ◽

Painlevé Analysis ◽

Backlund Transformations ◽

Painleve Analysis

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Painlevé analysis and normal forms theory

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(01)00165-8 ◽

2001 ◽

Vol 152-153 ◽

pp. 124-144 ◽

Cited By ~ 5

Author(s):

Alain Goriely

Keyword(s):

Normal Forms ◽

Painlevé Analysis ◽

Painleve Analysis

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Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev–Petviashvili equation with symbolic computation

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.05.002 ◽

2010 ◽

Vol 216 (12) ◽

pp. 3568-3577 ◽

Cited By ~ 4

Author(s):

Xiao-Nan Li ◽

Guang-Mei Wei ◽

Yue-Qian Liang

Keyword(s):

Symbolic Computation ◽

Variable Coefficient ◽

Analytic Solutions ◽

Painlevé Analysis ◽

Petviashvili Equation ◽

Painleve Analysis

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