224 citations · 2.5k across the 74 of their papers we have counts for
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Quantum superintegrability and exact solvability in N dimensions
Miguel A. Rodriguez, Pavel Winternitz
A family of maximally superintegrable systems containing the Coulomb atom as a special case is constructed in N-dimensional Euclidean space. Two different sets of N commuting secon…
Generalized Kadomtsev-Petviashvili equation with an infinite dimensional symmetry algebra
F. Gungor, P. Winternitz
A generalized Kadomtsev-Petviashvili equation, describing water waves in oceans of varying depth, density and vorticity is discussed. A priori, it involves 9 arbitrary functions of…
Superintegrability in a two-dimensional space of non-constant curvature
E. G. Kalnins, J. M. Kress, P. Winternitz
A Hamiltonian with two degrees of freedom is said to be superintegrable if it admits three functionally independent integrals of the motion. This property has been extensively stud…
Group foliation and non-invariant solutions of the heavenly equation
L. Martina, M. B. Sheftel, P. Winternitz
The main physical result of this paper are exact analytical solutions of the heavenly equation, of importance in the general theory of relativity. These solutions are not invariant…