The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative

John Weiss

doi:10.1063/1.525875

The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative

Journal of Mathematical Physics ◽

10.1063/1.525875 ◽

1983 ◽

Vol 24 (6) ◽

pp. 1405-1413 ◽

Cited By ~ 422

Author(s):

John Weiss

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Schwarzian Derivative ◽

Bäcklund Transformation ◽

Backlund Transformation ◽

Lax Pairs ◽

Partial Differential ◽

Painlevé Property

Download Full-text

Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II. Tzitzéica equation

Journal of Mathematical Physics ◽

10.1063/1.532853 ◽

1999 ◽

Vol 40 (4) ◽

pp. 2092-2106 ◽

Cited By ~ 16

Author(s):

Robert Conte ◽

Micheline Musette ◽

A. Michel Grundland

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Bäcklund Transformation ◽

Backlund Transformation ◽

Partial Differential

Download Full-text

A New Kind of Bäcklund Transformation for Partial Differential Equations

Reports on Mathematical Physics ◽

10.1016/s0034-4877(12)60035-4 ◽

2012 ◽

Vol 70 (2) ◽

pp. 149-161 ◽

Cited By ~ 1

Author(s):

Juan M. Conde ◽

Pilar R. Gordoa ◽

Andrew Pickering

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Bäcklund Transformation ◽

Backlund Transformation ◽

Partial Differential

Download Full-text

Bäcklund transformation of partial differential equations from the Painlevé–Gambier classification. I. Kaup–Kupershmidt equation

Journal of Mathematical Physics ◽

10.1063/1.532554 ◽

1998 ◽

Vol 39 (10) ◽

pp. 5617-5630 ◽

Cited By ~ 24

Author(s):

Micheline Musette ◽

Robert Conte

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Bäcklund Transformation ◽

Backlund Transformation ◽

Partial Differential

Download Full-text

Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations

Physics Letters A ◽

10.1016/j.physleta.2012.05.013 ◽

2012 ◽

Vol 376 (28-29) ◽

pp. 2045-2048 ◽

Cited By ~ 82

Author(s):

Bin Lu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Riccati Equation ◽

Bäcklund Transformation ◽

Fractional Partial Differential Equations ◽

Backlund Transformation ◽

Partial Differential

Download Full-text

Bäcklund Transformation and Similarity Reductions of Nonlinear Partial Differential Equations Using Extended Homogeneous Balance Method

Communications in Theoretical Physics ◽

10.1088/0253-6102/35/5/523 ◽

2001 ◽

Vol 35 (5) ◽

pp. 523-526 ◽

Cited By ~ 2

Author(s):

Fan En-Gui

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Bäcklund Transformation ◽

Nonlinear Partial Differential Equations ◽

Balance Method ◽

Backlund Transformation ◽

Partial Differential ◽

Homogeneous Balance Method ◽

Similarity Reductions ◽

Homogeneous Balance

Download Full-text

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

Download Full-text

On Backlund transformation of Riccati equation method and its application to nonlinear partial differential equations and differential-difference equations

Open Journal of Mathematical Sciences ◽

10.30538/oms2020.0094 ◽

2020 ◽

Vol 4 (1) ◽

pp. 56-62

Author(s):

Reham Hassan ◽

◽

Mustafa El-Agamy ◽

Mohamed Soror Abdel Latif ◽

Hamed Nour ◽

...

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Riccati Equation ◽

Difference Equations ◽

Bäcklund Transformation ◽

Nonlinear Partial Differential Equations ◽

Equation Method ◽

Backlund Transformation ◽

Partial Differential

Download Full-text

Painlevé property adn integrability of partial differential equations

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(84)90052-6 ◽

1984 ◽

Vol 11 (3) ◽

pp. 406

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Painlevé Property

Download Full-text