Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation
نویسندگان
چکیده
Article history: Received 7 February 2012 Available online 13 August 2012 We derive and justify a normal form reduction of the nonlinear Schrödinger 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 timedependent solutions of the nonlinear Schrödinger equation over long but finite time intervals. © 2012 Elsevier Inc. All rights reserved.
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