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

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Lisok, A. L.
Trifonov, A. Yu.
Shapovalov, A. V.
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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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Mathematical Physics, 03.65.Sq, 05.20-y, 05.70
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