12 citations · 12 across the 3 of their papers we have counts for
3 papers
math-ph2007
Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian
A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov
The Cauchy problem for the Gross--Pitaevsky equation with quadratic nonlocal nonlinearity is reduced to a similar problem for the correspondent linear equation. The relation betwee…
math-ph2006
Quasi-energy spectral series and the Aharonov-Anandan phase for the nonlocal Gross--Pitaevsky equation
A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov
For the nonlocal -periodic Gross-Pitaevsky operator, formal solutions of the Floquet problem asymptotic in small parameter , , up to have been…
math-ph2003★ 12 cited
The evolution operator of the Hartree-type equation with a quadratic potential
A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov
Based on the ideology of the Maslov's complex germ theory, a method has been developed for finding an exact solution of the Cauchy problem for a Hartree-type equation with a quadra…