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Paper detail

Normal form for the symmetry-breaking bifurcation in the nonlinear Schrodinger equation

We derive and justify a normal form reduction of the nonlinear Schrodinger equation for a general pitchfork bifurcation of the symmetric bound state that occurs in a double-well symmetric potential. We prove persistence of normal form dynamics for both supercritical and subcritical pitchfork bifurcations in the time-dependent solutions of the nonlinear Schrodinger equation over long but finite time intervals.

preprint2011arXivOpen access
Dmitry PelinovskyTuoc Phan
nlin.PS
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Dmitry PelinovskyTuoc Phan

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