Constructing Riemann-Hilbert problem and multi-soliton solutions for the N-coupled Hirota equations in an optical fiber

2019/01/03 by Zhou-Zheng Kang, Tie-Cheng Xia · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/0256-307x/36/11/110201

9 pages

arxiv created 2019/01/03 · arxiv updated 2020/01/08

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.

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