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Modulated amplitude waves with non-trivial phase in quasi-1D inhomogeneous Bose–Einstein condensates

2014; Elsevier BV; Volume: 378; Issue: 45 Linguagem: Inglês

10.1016/j.physleta.2014.10.008

1873-2429

Pedro J. Torres,

Nonlinear Dynamics and Pattern Formation

We consider a 1D nonlinear Schrödinger equation (NLSE) which describes the mean field dynamics of an elongated Bose–Einstein condensate and prove the existence of modulated amplitude waves with non-trivial phase and minimal spatial period tending to infinite. The proof combines the theory of local continuation of non-degenerate periodic solutions with a property of the Ermakov–Pinney equation.