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

2007/11/11 by A. L. Lisok, Lisok, A. L., A. Yu. Trifonov +4
Mathematics · Physics and Astronomy · #03.65.Sq #05.20-y #05.70 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.MP #msc:03.65.Sq #msc:05.20-y #msc:05.70

paper · pdf · doi:10.48550/arxiv.0711.1658

arxiv created 2007/11/11 · openalex publication_date 2007/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Structure of a quantized vortex in boson systems

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