Explicit breather solution of the nonlinear Schr\"odinger equation
Pattern Formation and Solitons
2021-04-14 v1 Superconductivity
Optics
Abstract
We present a one-line closed form expression for the three-parameter breather of the nonlinear Schr\"odinger equation. This provides an analytic proof of the time period doubling observed in experiments. The experimental check that some pulses generated in optical fibers are indeed such generalized breathers will be drastically simplified.
Cite
@article{arxiv.2104.06205,
title = {Explicit breather solution of the nonlinear Schr\"odinger equation},
author = {Robert Conte and ENS Paris-Saclay},
journal= {arXiv preprint arXiv:2104.06205},
year = {2021}
}
Comments
14 pages, no figure, to appear, Theoretical and mathematical physics