Exact solutions to the nonlinear Schr\"odinger equation with time-dependent coefficients
Pattern Formation and Solitons
2020-10-15 v1 High Energy Physics - Theory
Abstract
In this paper, the trial function method is employed to find the exact solutions for high-order nonlinear Schr\"odinger equations with time-dependent coefficients. This system describes the propagation of ultrashort light pulses in nonlinear fibers, with self-steepening and self-frequency shift effects. As a result, we derive a range of exact solutions which include Jacobi elliptic function solutions, solitary wave solutions, and rational function solutions.
Cite
@article{arxiv.2010.06582,
title = {Exact solutions to the nonlinear Schr\"odinger equation with time-dependent coefficients},
author = {Xin-Lei Mai and Wei Li},
journal= {arXiv preprint arXiv:2010.06582},
year = {2020}
}
Comments
11 pages, 24 figures