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Multi-Soliton Solutions for the Coupled Fokas–Lenells System via Riemann–Hilbert Approach |
| Zhou-Zheng Kang1,2, Tie-Cheng Xia1**, Xi Ma1 |
1Department of Mathematics, Shanghai University, Shanghai 200444
2College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043
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| Cite this article: |
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Zhou-Zheng Kang, Tie-Cheng Xia, Xi Ma 2018 Chin. Phys. Lett. 35 070201 |
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Abstract We aim to construct multi-soliton solutions for the coupled Fokas–Lenells system which arises as a model for describing the nonlinear pulse propagation in optical fibers. Starting from the spectral analysis of the Lax pair, a Riemann–Hilbert problem is presented. Then in the framework of the Riemann–Hilbert problem corresponding to the reflectionless case, $N$-soliton solutions to the coupled Fokas–Lenells system are derived explicitly.
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Received: 26 March 2018
Published: 24 June 2018
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 61072147 and 11271008. |
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