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