Multi-Soliton Solutions for the Coupled Fokas–Lenells System via Riemann–Hilbert Approach
Zhou-Zheng Kang1,2 , Tie-Cheng Xia1** , Xi Ma1
1 Department of Mathematics, Shanghai University, Shanghai 2004442 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043
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.
收稿日期: 2018-03-26
出版日期: 2018-06-24
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2018, Vol. 35 
