Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian

Details Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian Semiclassical symmetry of the Gross-Pitaevskii equation with quadratic nonlocal Hamiltonian

2007-11-11

arxiv.org/abs/0711.1658v1

Physics

Mathematical Physics

Scientific paper

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.

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