Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian
arXiv:0711.1658
Abstract
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.