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$N$ -soliton solution for a higher-order Chen–Lee–Liu equation with nonzero boundary conditions

Yi Zhao

School of Mathematical Sciences, Fudan University, Shanghai 200433, China

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and

Engui Fan

School of Mathematical Sciences, Fudan University, Shanghai 200433, China

E-mail Address: faneg@fudan.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0217984920500542Cited by:15 (Source: Crossref)

Abstract

In this paper, the Riemann–Hilbert approach is applied to investigate a higher-order Chen–Lee–Liu equation with third-order dispersion and quintic nonlinearity terms. Based on the analytical, symmetric and asymptotic properties of eigenfunctions, a generalized Riemann–Hilbert problem associated with Chen–Lee–Liu equation with nonzero boundary conditions is constructed. Further, the $N$ -soliton solution is found by solving the generalized Riemann–Hilbert problem. As an illustrative example, two kinds of one-soliton solutions with different forms of parameters are obtained.

Keywords:

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