• Corpus ID: 207780033

# Riemann-Hilbert approach and soliton solutions for the higher-order dispersive nonlinear Schrödinger equation with nonzero boundary conditions

@article{Li2019RiemannHilbertAA,
title={Riemann-Hilbert approach and soliton solutions for the higher-order dispersive nonlinear Schr{\"o}dinger equation with nonzero boundary conditions},
author={Zhi-qiang Li and Shou‐Fu Tian and Jin-Jie Yang},
journal={arXiv: Exactly Solvable and Integrable Systems},
year={2019}
}
• Published 5 November 2019
• Mathematics
• arXiv: Exactly Solvable and Integrable Systems
In this work, the higher-order dispersive nonlinear Schrodinger equation with non-zero boundary conditions at infinity is investigated including the simple and double zeros of the scattering coefficients. We introduce a appropriate Riemann surface and uniformization variable in order to deal with the double-valued functions occurring in the process of direct scattering. Then, the direct scattering problem is analyzed involving the analyticity, symmetries and asymptotic behaviors. Moreover, for…
14 Citations

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