Matter-wave solitons in the presence of collisional inhomogeneities: Perturbation theory and the impact of derivative terms

Authors

S Middelkamp
PG Kevrekidis, University of Massachusetts - AmherstFollow
DJ Frantzeskakkis
P Schmelcher

Publication Date

2009

Journal or Book Title

PHYSICS LETTERS A

Abstract

We investigate the dynamics of matter-wave solitons in the presence of a spatially varying atomic scattering length and nonlinearity. The dynamics of bright and dark solitary waves is studied using the corresponding Gross-Pitaevskii equation. The numerical results are shown to be in very good agreement with the predictions of the effective equations of motion derived by adiabatic perturbation theory. The spatially dependent nonlinearity is found to lead to a gravitational potential, as well as to a renormalization of the parabolic potential coefficient. This feature allows one to influence the motion of fundamental as well as higher-order solitons.

Comments

This is the prepublished version harvested from ArXiv. The published version is located at http://pra.aps.org/abstract/PRA/v72/i3/e033614

Pages

262-268

Volume

373

Issue

2

Recommended Citation

Middelkamp, S; Kevrekidis, PG; Frantzeskakkis, DJ; and Schmelcher, P, "Matter-wave solitons in the presence of collisional inhomogeneities: Perturbation theory and the impact of derivative terms" (2009). PHYSICS LETTERS A. 63.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/63