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nlin.PS2011★ 3 cited
Broad Band Solitons in a Periodic and Nonlinear Maxwell System
Dmitry Pelinovsky, Gideon Simpson, Michael I. Weinstein
We consider the one-dimensional Maxwell equations with low contrast periodic linear refractive index and weak Kerr nonlinearity. In this context, wave packet initial conditions wit…
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…