Constructing Riemann-Hilbert problem and multi-soliton solutions for the N-coupled Hirota equations in an optical fiber
Mathematical Physics
2020-01-08 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
This paper focuses on investigation of the N-coupled Hirota equations arising in an optical fiber. Starting from analyzing the spectral problem, a kind of matrix Riemann-Hilbert problem is formulated strictly on the real axis. Then based on the resulting matrix Riemann-Hilbert problem under the constraint of no reflection, multi-soliton solutions to the N-coupled Hirota equations are presented explicitly.
Cite
@article{arxiv.1901.00632,
title = {Constructing Riemann-Hilbert problem and multi-soliton solutions for the N-coupled Hirota equations in an optical fiber},
author = {Zhou-Zheng Kang and Tie-Cheng Xia},
journal= {arXiv preprint arXiv:1901.00632},
year = {2020}
}
Comments
9 pages