A defocusing complex short pulse equation and its multi-dark soliton solution by Darboux transformation
Exactly Solvable and Integrable Systems
2016-06-01 v2 Mathematical Physics
math.MP
Optics
Abstract
In this paper, we propose a complex short pulse equation of both focusing and defocusing types, which governs the propagation of ultra-short pulses in nonlinear optical fibers. It can be viewed as an analogue of the nonlinear Schr\"odinger (NLS) equation in the ultra-short pulse regime. Furthermore, we construct the multi-dark soliton solution for the defocusing complex short pulse equation through the Darboux transformation and reciprocal (hodograph) transformation. One- and two-dark soliton solutions are given explicitly, whose properties and dynamics are analyzed and illustrated.
Keywords
Cite
@article{arxiv.1511.00945,
title = {A defocusing complex short pulse equation and its multi-dark soliton solution by Darboux transformation},
author = {Bao-Feng Feng and Liming Ling and Zuonong Zhu},
journal= {arXiv preprint arXiv:1511.00945},
year = {2016}
}
Comments
Accepted by Phys.Rev.E, 13 pages, 4 figures