Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2011-01-27
Nonlinear Sciences
Pattern Formation and Solitons
28 pages, 2 figures
Scientific paper
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.
Pelinovsky Dmitry
Phan Tuoc
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