Localized nonlinear waves in systems with time- and space-modulated nonlinearities
Pattern Formation and Solitons
2009-11-13 v1 Exactly Solvable and Integrable Systems
Abstract
Using similarity transformations we construct explicit nontrivial solutions of nonlinear Schr\"odinger equations with potentials and nonlinearities depending on time and on the spatial coordinates. We present the general theory and use it to calculate explicitly non-trivial solutions such as periodic (breathers), resonant or quasiperiodically oscillating solitons. Some implications to the field of matter-waves are also discussed.
Cite
@article{arxiv.0805.0384,
title = {Localized nonlinear waves in systems with time- and space-modulated nonlinearities},
author = {Juan Belmonte-Beitia and Victor M. Perez-Garcia and Vadym Vekslerchik and Vladimir V. Konotop},
journal= {arXiv preprint arXiv:0805.0384},
year = {2009}
}