Publications (38)
Discrete systems related to some equations of the Painlevé-Gambier classification
S. Lafortune, B. Grammaticos, A. Ramani +1
Solutions to the Optical Cascading Equations
S. Lafortune, P. Winternitz, C. R. Menyuk
Quasiseparation of variables in the Schroedinger equation with a magnetic field
F. Charest, C. Hudon, P. Winternitz
The Conformal Group SU(2,2) and Integrable Systems on a Lorentzian Hyperboloid
M. A. del Olmo, M. A. Rodriguez, P. Winternitz
Generalized Kadomtsev-Petviashvili equation with an infinite dimensional symmetry algebra
F. Gungor, P. Winternitz
Invariant difference schemes and their application to $SL(2,\mathbb{R})$ invariant ordinary differential equations
R. Rebelo, P. Winternitz
$P_\infty$ algebra of KP, free fermions and 2-cocycle in the Lie algebra of pseudodifferential operators
A. Yu. Orlov, P. Winternitz
Symmetries of the Kadomstev-Petviashvili Hierarchy
A. Yu. Orlov, P. Winternitz
Weak Transversality and Partially Invariant Solutions
A. M. Grundland, P. Tempesta, P. Winternitz
Symmetry reduction and superintegrable Hamiltonian systems
M. A. Rodriguez, P. Tempesta, P. Winternitz
Symmetry Classification of Diatomic Molecular Chains
S. Lafortune, S. Tremblay, P. Winternitz
Symmetry preserving discretization of SL(2,R) invariant equations
A. Bourlioux, R. Rebelo, P. Winternitz
Continuous Symmetries of Difference Equations
D. Levi, P. Winternitz
Symmetries of Discrete Dynamical Systems Involving Two Species
D. Gomez-Ullate, S. Lafortune, P. Winternitz
Group foliation and non-invariant solutions of the heavenly equation
L. Martina, M. B. Sheftel, P. Winternitz
Point Symmetries of Generalized Toda Field Theories
S. Lafortune, P. Winternitz, L. Martina
Point Symmetries of Generalized Toda Field Theories II Applications of the Symmetries
L. Martina, S. Lafortune, P. Winternitz
Superintegrable systems with spin induced by coalgebra symmetry
D. Riglioni, O. Gingras, P. Winternitz
Superintegrable Systems in Darboux spaces
E. G. Kalnins, J. M. Kress, W. Miller +1
First integrals of ordinary difference equations beyond Lagrangian methods
V. Dorodnitsyn, E. Kaptsov, R. Kozlov +1
First integrals of ordinary difference equations which do not possess a variational formulation
P. Winternitz, V. Dorodnitsyn, E. Kaptsov +1
Hyperspherical Harmonics, Separation of Variables and the Bethe Ansatz
J. Harnad, P. Winternitz
Integrable and superintegrable systems with spin in three-dimensional Euclidean space
P. Winternitz, I. Yurdusen
Third-order superintegrable systems separable in parabolic coordinates
I. Popper, S. Post, P. Winternitz
Polynomial Poisson Algebras for Classical Superintegrable Systems with a Third Order Integral of Motion
I. Marquette, P. Winternitz
Integrable and superintegrable systems with spin
P. Winternitz, I. Yurdusen
Loop Algebra Symmetries and Commuting Flows for the Kadomtsev-Petviashvili Hierarchy
A. Yu. Orlov, P. Winternitz
Spherical Functions for the Quantum Group su_q(2)
P. Winternitz, G. Rideau
An infinite family of superintegrable deformations of the Coulomb potential
S. Post, P. Winternitz
Superintegrability in a two-dimensional space of non-constant curvature
E. G. Kalnins, J. M. Kress, P. Winternitz
General Nth order integrals of the motion
S. Post, P. Winternitz
A class of solvable Lie algebras and their Casimir Invariants
L. Snobl, P. Winternitz
Lie Point Symmetries and Commuting Flows for Equations on Lattices
D. Levi, P. Winternitz
On the solutions of the $CP^{1}$ model in $(2+1)$ dimensions
A. M. Grundland, P. Winternitz, W. J. Zakrzewski
Classical and Quantum Integrable Systems in $\wt{\gr{gl}}(2)^{+*}$ and Separation of Variables
John Harnad, P. Winternitz
Lie point symmetries of differential--difference equations
D. Levi, P. Winternitz, R. Yamilov
Heisenberg Algebra, Umbral Calculus and Orthogonal Polynomials
G. Dattoli, D. Levi, P. Winternitz
Classical Trajectories for two Ring-Shaped Potentials
M. Kibler, G. -H. Lamot, P. Winternitz