Modulation of localized solutions in quadratic-cubic nonlinear Schr\"odinger equation with inhomogeneous coefficients
Pattern Formation and Solitons
2017-04-12 v1 Optics
Abstract
We study the presence of exact localized solutions in a quadratic-cubic nonlinear Schr\"odinger equation with inhomogeneous nonlinearities. Using a specific ansatz, we transform the nonautonomous nonlinear equation into an autonomous one, which engenders composed states corresponding to solutions localized in space, with an oscillating behavior in time. Direct numerical simulations are employed to verify the stability of the modulated solutions against small random perturbations.
Keywords
Cite
@article{arxiv.1704.03348,
title = {Modulation of localized solutions in quadratic-cubic nonlinear Schr\"odinger equation with inhomogeneous coefficients},
author = {Wesley B. Cardoso and Hugo L. C. Couto and Ardiley T. Avelar and Dionisio Bazeia},
journal= {arXiv preprint arXiv:1704.03348},
year = {2017}
}
Comments
12 pages, 8 figures