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Symmetry breaking bifurcation in Nonlinear Schrodinger /Gross-Pitaevskii Equations | | E.W. Kirr
; P.G. Kevrekidis
; E. Shlizerman
; M.I. Weinstein
; | | Date: |
19 Feb 2007 | | Subject: | Pattern Formation and Solitons | | Abstract: | We 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}. | | Source: | arXiv, nlin/0702038 | | Services: | Forum | Review | PDF | Favorites | |
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