Drag force in bimodal cubic-quintic nonlinear Schr\"odinger equation
Quantum Gases
2016-05-17 v1 Optics
Abstract
We consider a system of two cubic-quintic non-linear Schr\"odinger 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.
Keywords
Cite
@article{arxiv.1605.04771,
title = {Drag force in bimodal cubic-quintic nonlinear Schr\"odinger equation},
author = {David Feijoo and Ismael Ordóñez and Ángel Paredes and Humberto Michinel},
journal= {arXiv preprint arXiv:1605.04771},
year = {2016}
}