Symmetry breaking bifurcation in Nonlinear Schrodinger /Gross-Pitaevskii Equations

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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}.
38 pages, 6 figures

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Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/124222

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0702038
 http://arxiv.org/abs/nlin/0702038

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arXiv