output
19912026
researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2002 · math-phShow all

5 papers · 2 filters

math-ph2002★ 1 cited

Canonically conjugate variables for the periodic Camassa-Holm equation

Alexei V. Penskoi

The Camassa-Holm shallow water equation is known to be Hamiltonian with respect to two compatible Poisson brackets. A set of conjugate variables is constructed for both brackets us…

math-ph2002★ 2 cited

Discrete Lagrangian systems on the Virasoro group and Camassa-Holm family

A. V. Penskoi, A. P. Veselov

We show that the continuous limit of a wide natural class of the right-invariant discrete Lagrangian systems on the Virasoro group gives the family of integrable PDE's containing C…

math-ph2002★ 131 cited

Superintegrability with third order invariants in quantum and classical mechanics

Simon Gravel, Pavel Winternitz

We consider here the coexistence of first- and third-order integrals of motion in two dimensional classical and quantum mechanics. We find explicitly all potentials that admit such…

math-ph2002★ 26 cited

Weak Transversality and Partially Invariant Solutions

A. M. Grundland, P. Tempesta, P. Winternitz

New exact solutions are obtained for several nonlinear physical equations, namely the Navier-Stokes and Euler systems, an isentropic compressible fluid system and a vector nonlinea…

math-ph2002★ 6 cited

Lagrangian time-discretization of the Hunter-Saxton equation

Alexei V. Penskoi

We study Lagrangian time-discretizations of the Hunter-Saxton equation. Using the Moser-Veselov approach, we obtain such discretizations defined on the Virasoro group and on the gr…