Riemann-Hilbert method for N-soliton solution of the coupled Hirota system in nonlinear fiber

2018/10/31 by Zhou-Zheng Kang, Kang, Zhou-Zheng, Tiecheng Xia +1
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1810.13203

openalex publication_date 2018/10/31 · openalex created_date 2018/11/09 · openalex updated_date 2026/07/28

Abstract

Under investigation in this work is the coupled Hirota system arising in nonlinear fiber. The spectral analysis of the Lax pair is first carried out and a Riemann-Hilbert problem is described. Then in the framework of the obtained Riemann-Hilbert problem with the reflectionless case, N-soliton solution is presented for the coupled Hirota system. Finally, via proper choices of the involved parameters, a few plots are made to exhibit the localized structures and dynamic characteristics of one-soliton solution.

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