Localized exact solutions of $\mathcal{PT}$ symmetric nonlinear Schr\"odinger equation with space and time modulated nonlinearities
Pattern Formation and Solitons
2013-07-30 v1 Mathematical Physics
math.MP
Abstract
Using canonical transformations we obtain localized (in space) exact solutions of the nonlinear Schr\"odinger equation (NLSE) with space and time modulated nonlinearity and in the presence of an external potential depending on space and time. In particular we obtain exact solutions of NLSE in the presence of a number of non Hermitian symmetric external potentials.
Keywords
Cite
@article{arxiv.1307.7591,
title = {Localized exact solutions of $\mathcal{PT}$ symmetric nonlinear Schr\"odinger equation with space and time modulated nonlinearities},
author = {L. E. Arroyo Meza and M. B. Hott and A. de Souza Dutra and P. Roy},
journal= {arXiv preprint arXiv:1307.7591},
year = {2013}
}
Comments
14 pages, 10 figures