Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications
Pattern Formation and Solitons
2015-05-13 v1
Abstract
In this paper we study blow-up phenomena in general coupled nonlinear Schrodinger equations with different dispersion coefficients. We find sufficient conditions for blow-up and for the existence of global solutions. We discuss several applications of our results to heteronuclear multispecies Bose-Einstein condensates and to degenerate boson-fermion mixtures.
Cite
@article{arxiv.0804.4645,
title = {Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications},
author = {Vladislav Prytula and Vadym Vekslerchik and Victor M. Perez-Garcia},
journal= {arXiv preprint arXiv:0804.4645},
year = {2015}
}