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arXiv · 1810.13203

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

Zhou-Zheng Kang·Tie-Cheng Xia
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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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Zhou-Zheng Kang, Tie-Cheng Xia. 2018-10-31. Riemann-Hilbert method for N-soliton solution of the coupled Hirota system in nonlinear fiber. https://arxiv.org/abs/1810.13203

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