Insertion of the Darboux Transformation in the Invariant Painlevé Analysis of Nonlinear Partial Differential Equations

Painlevé Transcendents - NATO ASI Series ◽

10.1007/978-1-4899-1158-2_13 ◽

1992 ◽

pp. 197-209 ◽

Cited By ~ 1

Author(s):

M. Musette

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Darboux Transformation ◽

Nonlinear Partial Differential Equations ◽

Painlevé Analysis ◽

Partial Differential ◽

Painleve Analysis

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Painlevé Analysis for Nonlinear Partial Differential Equations

The Painlevé Property ◽

10.1007/978-1-4612-1532-5_8 ◽

1999 ◽

pp. 517-572 ◽

Cited By ~ 9

Author(s):

Micheline Musette

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Painlevé Analysis ◽

Partial Differential ◽

Painleve Analysis

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The Painlevé analysis and exact travelling wave solutions to nonlinear partial differential equations

Mathematical and Computer Modelling ◽

10.1016/0895-7177(93)90224-m ◽

1993 ◽

Vol 18 (10) ◽

pp. 151-156 ◽

Cited By ~ 3

Author(s):

M. Vlieg-Hulstman

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Travelling Wave ◽

Painlevé Analysis ◽

Travelling Wave Solutions ◽

Partial Differential ◽

Wave Solutions ◽

Painleve Analysis

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Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations

Journal of Mathematical Physics ◽

10.1063/1.529302 ◽

1991 ◽

Vol 32 (6) ◽

pp. 1450-1457 ◽

Cited By ~ 79

Author(s):

M. Musette ◽

R. Conte

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Painlevé Analysis ◽

Lax Pairs ◽

Partial Differential ◽

Algorithmic Method ◽

Painleve Analysis

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Painlevé analysis and integrability aspects of some nonlinear partial differential equations

Pramana ◽

10.1007/bf02845628 ◽

1997 ◽

Vol 48 (1) ◽

pp. 143-161 ◽

Cited By ~ 11

Author(s):

K Porsezian

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Painlevé Analysis ◽

Partial Differential ◽

Painleve Analysis

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Universal invariance properties of Painlevé analysis and Bäcklund transformation in nonlinear partial differential equations

Physics Letters A ◽

10.1016/0375-9601(88)90942-5 ◽

1988 ◽

Vol 134 (2) ◽

pp. 100-104 ◽

Cited By ~ 52

Author(s):

Robert Conte

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Bäcklund Transformation ◽

Nonlinear Partial Differential Equations ◽

Painlevé Analysis ◽

Backlund Transformation ◽

Partial Differential ◽

Invariance Properties ◽

Painleve Analysis

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Invariant painlevé analysis of partial differential equations

Physics Letters A ◽

10.1016/0375-9601(89)90072-8 ◽

1989 ◽

Vol 140 (7-8) ◽

pp. 383-390 ◽

Cited By ~ 176

Author(s):

Robert Conte

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Painlevé Analysis ◽

Partial Differential ◽

Painleve Analysis

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Soliton solutions for two nonlinear partial differential equations using a Darboux transformation of the Lax pairs

Physical Review E ◽

10.1103/physreve.77.036605 ◽

2008 ◽

Vol 77 (3) ◽

Cited By ~ 28

Author(s):

Ji Lin ◽

Bo Ren ◽

Hua-mei Li ◽

Yi-shen Li

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Darboux Transformation ◽

Nonlinear Partial Differential Equations ◽

Soliton Solutions ◽

Lax Pairs ◽

Partial Differential

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Factorization and Painleve analysis of a class of nonlinear third-order partial differential equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/28/10/017 ◽

1995 ◽

Vol 28 (10) ◽

pp. 2871-2888 ◽

Cited By ~ 45

Author(s):

C Gilson ◽

A Pickering

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Painlevé Analysis ◽

Third Order ◽

Partial Differential ◽

Painleve Analysis

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Nonlinear Partial Differential Equations and Related Problems of Pade Approximations.

10.21236/ada141519 ◽

1983 ◽

Author(s):

D. V. Chudnovsky ◽

G. V. Chudnovsky

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Padé Approximations ◽

Partial Differential ◽

Pade Approximations

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Numerical and Analytical Methods in Nonlinear Partial Differential Equations.

10.21236/ada185210 ◽

1987 ◽

Author(s):

Richard E. Ewing

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Analytical Methods ◽

Nonlinear Partial Differential Equations ◽

Partial Differential ◽

Numerical And Analytical Methods

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