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arXiv · 1605.04771

Drag force in bimodal cubic-quintic nonlinear Schrödinger equation

David Feijoo·Ismael Ordóñez·Ángel Paredes·Humberto Michinel
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Abstract

We consider a system of two cubic-quintic non-linear Schrödinger equations in two dimensions, coupled by repulsive cubic terms. We analyse situations in which a probe lump of one of the modes is surrounded by a fluid of the other one and analyse their interaction. We find a realization of D'Alembert's paradox for small velocities and non-trivial drag forces for larger ones. We present numerical analysis including the search of static and traveling form-preserving solutions along with simulations of the dynamical evolution in some representative examples.

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David Feijoo, Ismael Ordóñez, Ángel Paredes, Humberto Michinel. 2016-05-09. Drag force in bimodal cubic-quintic nonlinear Schrödinger equation. https://doi.org/10.1103/physreve.90.033204

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