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most citedTraveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity

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math.AP2023

Exotic traveling waves for a quasilinear Schrödinger equation with nonzero background

André de Laire, Erwan Le Quiniou

We study a defocusing quasilinear Schrödinger equation with nonzero conditions at infinity in dimension one. This quasilinear model corresponds to a weakly nonlocal approximation o…