A General Integrable Nonlocal Coupled Nonlinear Schr\"odinger Equation
Exactly Solvable and Integrable Systems
2015-05-21 v1
Abstract
In this paper, we investigate a general integrable nonlocal coupled nonlinear schr\"odinger (NLS) system with the the parity-time (PT) symmetry, which contains not only the nonlocal self-phase modulation and the nonlocal cross-phase modulation, but also the nonlocal four-wave mixing terms. This nonlocal coupled NLS system is a nonlocal version of a coupled NLS system. The general Nth Darboux transformation for the nonlocal coupled NLS equation is constructed. By using the Darboux transformation, its soliton solutions are obtained.
Cite
@article{arxiv.1505.05311,
title = {A General Integrable Nonlocal Coupled Nonlinear Schr\"odinger Equation},
author = {Cai-Qin Song and Dong-Mei Xiao and Zuo-Nong Zhu},
journal= {arXiv preprint arXiv:1505.05311},
year = {2015}
}