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1

HUYGENS' PRINCIPLE AND SEPARATION OF VARIABLES

BEREST, YURI, WINTERNITZ, PAVEL

Journal:

Reviews in Mathematical Physics

Année:

2000

Langue:

english

Fichier:

PDF, 356 KB

english, 2000

2

Lie group classification of first-order delay ordinary differential equations

Dorodnitsyn, Vladimir A, Kozlov, Roman, Meleshko, Sergey V, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2018

Langue:

english

Fichier:

PDF, 1.46 MB

english, 2018

3

Lie group classification of second-order ordinary difference equations

Dorodnitsyn, Vladimir, Kozlov, Roman, Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2000

Langue:

english

Fichier:

PDF, 447 KB

english, 2000

4

Symmetries of semiclassical gravity in two dimensions

Floreanini, Roberto, Lina, Jean-Marc, Vinet, Luc, Winternitz, Pavel

Journal:

Physical Review D

Année:

1990

Langue:

english

Fichier:

PDF, 164 KB

english, 1990

5

Superposition formulas for pseudounitary matrix Riccati equations

Lafortune, Stéphane, Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

1996

Langue:

english

Fichier:

PDF, 414 KB

english, 1996

6

Lie group analysis of a generalized Krichever-Novikov differential-difference equation

Levi, Decio, Ricca, Eugenio, Thomova, Zora, Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2014

Langue:

english

Fichier:

PDF, 491 KB

english, 2014

7

Continuous symmetries of difference equations

Levi, Decio, Winternitz, Pavel

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

2006

Langue:

english

Fichier:

PDF, 787 KB

english, 2006

8

Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries

Dorodnitsyn, Vladimir, Kozlov, Roman, Meleshko, Sergey V, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2018

Langue:

english

Fichier:

PDF, 373 KB

english, 2018

9

Allowed transformations and symmetry classes of variable coefficient Korteweg-de Vries equations

Pavel Winternitz, J.P. Gazeau

Journal:

Physics Letters A

Année:

1992

Langue:

english

Fichier:

PDF, 265 KB

english, 1992

10

Discrete matrix Riccati equations with superposition formulas

Alexei V. Penskoi, Pavel Winternitz

Journal:

Journal of Mathematical Analysis and Applications

Année:

2004

Langue:

english

Fichier:

PDF, 236 KB

english, 2004

11

Time-dependent realization of the infinite-dimensional hydrogen algebra

Jamil Daboul, Pavel Winternitz

Journal:

Physics Letters A

Année:

2001

Langue:

english

Fichier:

PDF, 79 KB

english, 2001

12

Classical trajectories for two ring-shaped potentials

Maurice Kibler, Georges-Henri Lamot, Pavel Winternitz

Journal:

International Journal of Quantum Chemistry

Année:

1992

Langue:

english

Fichier:

PDF, 892 KB

english, 1992

13

Solutions of Nonlinear Differential and Difference Equations with Superposition Formulas

Alexander Turbiner, Pavel Winternitz

Journal:

Letters in Mathematical Physics

Année:

1999

Langue:

english

Fichier:

PDF, 119 KB

english, 1999

14

An infinite family of solvable and integrable quantum systems on a plane

Tremblay, Frédérick, Turbiner, Alexander V, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2009

Langue:

english

Fichier:

PDF, 275 KB

english, 2009

15

An infinite family of superintegrable deformations of the Coulomb potential

Post, Sarah, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2010

Langue:

english

Fichier:

PDF, 182 KB

english, 2010

16

Exact solvability of superintegrable systems

Tempesta, Piergiulio, Turbiner, Alexander V., Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2001

Langue:

english

Fichier:

PDF, 403 KB

english, 2001

17

Infinite families of superintegrable systems separable in subgroup coordinates

Lévesque, Daniel, Post, Sarah, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2012

Langue:

english

Fichier:

PDF, 421 KB

english, 2012

18

Umbral calculus, difference equations and the discrete Schrödinger equation

Levi, Decio, Tempesta, Piergiulio, Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2004

Langue:

english

Fichier:

PDF, 428 KB

english, 2004

19

Periodic orbits for an infinite family of classical superintegrable systems

Tremblay, Frédérick, Turbiner, Alexander V, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2010

Langue:

english

Fichier:

PDF, 707 KB

english, 2010

20

Superintegrability with third-order integrals in quantum and classical mechanics

Gravel, Simon, Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2002

Langue:

english

Fichier:

PDF, 240 KB

english, 2002

21

Classical and quantum superintegrability with applications

Miller, Willard, Post, Sarah, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2013

Langue:

english

Fichier:

PDF, 1.96 MB

english, 2013

22

Integrable and superintegrable quantum systems in a magnetic field

Bérubé, Josée, Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2004

Langue:

english

Fichier:

PDF, 418 KB

english, 2004

23

Integrable and superintegrable systems with spin

Winternitz, Pavel, Yurduşen, İsmet

Journal:

Journal of Mathematical Physics

Année:

2006

Langue:

english

Fichier:

PDF, 351 KB

english, 2006

24

Reduction of superintegrable systems: The anisotropic harmonic oscillator

Rodríguez, Miguel A., Tempesta, Piergiulio, Winternitz, Pavel

Journal:

Physical Review E

Année:

2008

Langue:

english

Fichier:

PDF, 123 KB

english, 2008

25

A class of superintegrable systems of Calogero type

Smirnov, Roman G., Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2006

Langue:

english

Fichier:

PDF, 331 KB

english, 2006

26

Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations

Dorodnitsyn, Vladimir, Kozlov, Roman, Winternitz, Pavel

Journal:

Journal of Nonlinear Mathematical Physics

Année:

2003

Langue:

english

Fichier:

PDF, 127 KB

english, 2003

27

Continuous symmetries of Lagrangians and exact solutions of discrete equations

Dorodnitsyn, Vladimir, Kozlov, Roman, Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2004

Langue:

english

Fichier:

PDF, 434 KB

english, 2004

28

Polynomial Poisson algebras for classical superintegrable systems with a third-order integral of motion

Marquette, Ian, Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2007

Langue:

english

Fichier:

PDF, 530 KB

english, 2007

29

Quantum superintegrability and exact solvability in n dimensions

Rodrı́guez, Miguel A., Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2002

Langue:

english

Fichier:

PDF, 349 KB

english, 2002

30

Integrable and superintegrable Hamiltonian systems in magnetic fields

McSween, Eric, Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2000

Langue:

english

Fichier:

PDF, 335 KB

english, 2000

31

Superintegrable systems with spin and second-order integrals of motion

Désilets, Jean-Francois, Winternitz, Pavel, Yurduşen, İsmet

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2012

Langue:

english

Fichier:

PDF, 356 KB

english, 2012

32

The Korteweg–de Vries equation and its symmetry-preserving discretization

Bihlo, Alexander, Coiteux-Roy, Xavier, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2015

Langue:

english

Fichier:

PDF, 788 KB

english, 2015

33

[NATO ASI Series] Painlevé Transcendents Volume 278 || Connection Results for the First Painlevé Equation

Levi, Decio, Winternitz, Pavel

Année:

1992

Langue:

english

Fichier:

PDF, 1.75 MB

english, 1992

34

[NATO ASI Series] Painlevé Transcendents Volume 278 || Insertion of the Darboux Transformation in the Invariant Painlevé Analysis of Nonlinear Partial Differential Equations

Levi, Decio, Winternitz, Pavel

Année:

1992

Langue:

english

Fichier:

PDF, 1.23 MB

english, 1992

35

[NATO ASI Series] Painlevé Transcendents Volume 278 || Some Isomonodromy Problems in Hyperbolic Space

Levi, Decio, Winternitz, Pavel

Année:

1992

Langue:

english

Fichier:

PDF, 2.26 MB

english, 1992

36

[NATO ASI Series] Painlevé Transcendents Volume 278 || Flexibility in Applying the Painlevé Test

Levi, Decio, Winternitz, Pavel

Année:

1992

Langue:

english

Fichier:

PDF, 1.27 MB

english, 1992

37

[NATO ASI Series] Painlevé Transcendents Volume 278 || The Singular Manifold Method

Levi, Decio, Winternitz, Pavel

Année:

1992

Langue:

english

Fichier:

PDF, 2.09 MB

english, 1992

38

A nonseparable quantum superintegrable system in 2D real Euclidean space

Post, Sarah, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2011

Langue:

english

Fichier:

PDF, 125 KB

english, 2011

39

Erratum: “A class of superintegrable systems of Calogero type” [J. Math. Phys. 47, 093505 (2006)]

Smirnov, Roman G., Winternitz, Pavel

Journal:

Journal of Mathematical Physics

Année:

2007

Langue:

english

Fichier:

PDF, 37 KB

english, 2007

40

Superintegrable systems with third-order integrals of motion

Marquette, Ian, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2008

Langue:

english

Fichier:

PDF, 160 KB

english, 2008

41

[Lecture Notes in Physics] Direct and Inverse Methods in Nonlinear Evolution Equations Volume 632 || Lie groups, singularities and solutions of nonlinear partial differential equations

Winternitz, Pavel

Année:

2003

Langue:

english

Fichier:

PDF, 391 KB

english, 2003

42

Contact transformations for difference schemes

Levi, Decio, Scimiterna, Christian, Thomova, Zora, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2012

Langue:

english

Fichier:

PDF, 155 KB

english, 2012

43

Symmetries and integrability of difference equations

Levi, Decio, Olver, Peter, Thomova, Zora, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2009

Langue:

english

Fichier:

PDF, 109 KB

english, 2009

44

Symmetry Preserving Discretization of SL(2,ℝ) Invariant Equations

Bourlioux, Anne, Rebelo, Raphaël, Winternitz, Pavel

Journal:

Journal of Nonlinear Mathematical Physics

Année:

2008

Langue:

english

Fichier:

PDF, 269 KB

english, 2008

45

Are there contact transformations for discrete equations?

Levi, Decio, Thomova, Zora, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2011

Langue:

english

Fichier:

PDF, 120 KB

english, 2011

46

Symmetries and Integrability of Difference Equations || Lectures on Moving Frames

Levi, Decio, Olver, Peter, Thomova, Zora, Winternitz, Pavel

Année:

2011

Langue:

english

Fichier:

PDF, 384 KB

english, 2011

47

Symmetries and Integrability of Difference Equations || Generalized Lie Symmetries for Difference Equations

Levi, Decio, Olver, Peter, Thomova, Zora, Winternitz, Pavel

Année:

2011

Langue:

english

Fichier:

PDF, 254 KB

english, 2011

48

Symmetries and Integrability of Difference Equations ||

Levi, Decio, Rebelo, Raphaël, Winternitz, Pavel

Année:

2017

Langue:

english

Fichier:

PDF, 8.55 MB

english, 2017

49

Fourth order superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials

Marquette, Ian, Sajedi, Masoumeh, Winternitz, Pavel

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2017

Langue:

english

Fichier:

PDF, 1.35 MB

english, 2017

50

Symmetries and Integrability of Difference Equations || Symmetry-Preserving Numerical Schemes

Levi, Decio, Rebelo, Raphaël, Winternitz, Pavel

Année:

2017

Langue:

english

Fichier:

PDF, 1.04 MB

english, 2017