most citedSmall solutions of nonlinear Schrödinger equations near first excited states

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nlin.PS2011

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

Dmitry Pelinovsky, Tuoc Phan

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 sy…