Rogue Waves in Nonlinear Schrodinger Models with Variable Coefficients : Application to Bose Einstein Condensates

Authors

J. S. He, Ningbo University
E. G. Charalampidis, University of Massachusetts Amherst
P. G. Kevrekidis, University of Massachusetts Amherst
D. J. Frantzeskasis, University of Athens

Publication Date

2014

Journal or Book Title

Physics Letters A

Abstract

We explore the form of rogue waves solution sin a select set of case examples of non linear Schrodinger equations with variable coefficients. We focus on systems with constant dispersion, and present three different models that describe atomic Bose Einstein condensates in different experimentally relevant settings. For these models, we identify exact rogue waves solutions. Our analytical findings are corroborated by direct numerical integration of the original equations, performed by two different schemes. Very good agreement between numerical results and analytical predictions for the emergence of the rogue waves is identified. Additionally, the nontrivial fate of small numerically induced perturbations to the exact rogue waves solutions is also discussed.

Comments

This is harvested from arXiv. The published version is located at http://arxiv.org/pdf/1311.5497v4.pdf.

Pages

15

Recommended Citation

He, J. S.; Charalampidis, E. G.; Kevrekidis, P. G.; and Frantzeskasis, D. J., "Rogue Waves in Nonlinear Schrodinger Models with Variable Coefficients : Application to Bose Einstein Condensates" (2014). Physics Letters A. 1264.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1264