Symmetry breaking bifurcation in Nonlinear Schrodinger /Gross-Pitaevskii Equations

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dc.creatorKirr, E. W.
dc.creatorKevrekidis, P. G.
dc.creatorShlizerman, E.
dc.creatorWeinstein, M. I.
dc.date2007-02-19
dc.date.accessioned2026-07-07T07:47:36Z
dc.date.available2026-07-07T07:47:36Z
dc.descriptionWe consider a class of nonlinear Schrodinger / Gross-Pitaveskii (NLS-GP) equations, i.e. NLS with a linear potential. We obtain conditions for a symmetry breaking bifurcation in a symmetric family of states as N, the squared L^2 norm (particle number, optical power), is increased. In the special case where the linear potential is a double-well with well separation L, we estimate N_{cr}, the symmetry breaking threshold. Along the ``lowest energy'' symmetric branch, there is an exchange of stability from the symmetric to asymmetric branch as N is increased beyond N_{cr}.
dc.description38 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/nlin/0702038
dc.identifierhttp://arxiv.org/abs/nlin/0702038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124222
dc.subjectPattern Formation and Solitons
dc.titleSymmetry breaking bifurcation in Nonlinear Schrodinger /Gross-Pitaevskii Equations
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