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Construction of Multi-soliton Solutions of the $N$-Coupled Hirota Equations in an Optical Fiber |
Zhou-Zheng Kang1,2, Tie-Cheng Xia1** |
1Department of Mathematics, Shanghai University, Shanghai 200444 2College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043
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Cite this article: |
Zhou-Zheng Kang, Tie-Cheng Xia 2019 Chin. Phys. Lett. 36 110201 |
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Abstract This work aims to study the $N$-coupled Hirota equations in an optical fiber under the zero boundary condition at infinity. By analyzing the spectral problem, a matrix Riemann–Hilbert problem on the real axis is strictly established. Then, by solving the presented matrix Riemann–Hilbert problem under the constraint of no reflection, the bright multi-soliton solutions to the $N$-coupled Hirota equations are explicitly gained.
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Received: 22 July 2019
Published: 21 October 2019
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Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11975145, 11271008 and 61072147. |
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