Riemann-Hilbert method for N-soliton solution of the coupled Hirota system in nonlinear fiber
Mathematical Physics
2018-11-01 v1 math.MP
Abstract
Under investigation in this work is the coupled Hirota system arising in nonlinear fiber. The spectral analysis of the Lax pair is first carried out and a Riemann-Hilbert problem is described. Then in the framework of the obtained Riemann-Hilbert problem with the reflectionless case, N-soliton solution is presented for the coupled Hirota system. Finally, via proper choices of the involved parameters, a few plots are made to exhibit the localized structures and dynamic characteristics of one-soliton solution.
Cite
@article{arxiv.1810.13203,
title = {Riemann-Hilbert method for N-soliton solution of the coupled Hirota system in nonlinear fiber},
author = {Zhou-Zheng Kang and Tie-Cheng Xia},
journal= {arXiv preprint arXiv:1810.13203},
year = {2018}
}
Comments
10 pages