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arXiv · 1901.00632

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

Zhou-Zheng Kang·Tie-Cheng Xia
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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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Zhou-Zheng Kang, Tie-Cheng Xia. 2019-01-03. Constructing Riemann-Hilbert problem and multi-soliton solutions for the N-coupled Hirota equations in an optical fiber. https://doi.org/10.1088/0256-307x%2F36%2F11%2F110201

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