Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian
Lisok, A. L.
Trifonov, A. Yu.
Shapovalov, A. V.
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 between symmetry operators of the linear and nonlinear Gross--Pitaevsky equations is considered.
Mathematical Physics, 03.65.Sq, 05.20-y, 05.70