Riemann-Hilbert method and soliton solutions in the system of two-component Hirota equations
Analysis of PDEs
2018-09-20 v1
Abstract
In this letter we examine the two-component Hirota (TH) equations which describes the pulse propagation in a coupled fiber with higher-order dispersion and self-steepening. As the TH equations is a complete integrable system, which admits a Ablowitz-Kaup-Newell-Segu(AKNS)-type Lax pair, we obtain the general N-soliton solutions of the TH equations via the Riemann-Hilbert(RH) method when the jump matrix of a specific RH problem is a unit matrix. As an example, the expression of one- and two-soliton are displayed explicitly.
Keywords
Cite
@article{arxiv.1809.07035,
title = {Riemann-Hilbert method and soliton solutions in the system of two-component Hirota equations},
author = {Fang Fang and Beibei Hu and Ling Zhang and Ning Zhang},
journal= {arXiv preprint arXiv:1809.07035},
year = {2018}
}
Comments
6 pages