# Riemann-Hilbert Approach and N-Soliton Solutions For Three-Component Coupled Hirota Equations

@article{Wu2019RiemannHilbertAA,
title={Riemann-Hilbert Approach and N-Soliton Solutions For Three-Component Coupled Hirota Equations},
author={Xin Wu and Shou‐Fu Tian and Jin-Jie Yang},
journal={East Asian Journal on Applied Mathematics},
year={2019}
}
• Published 7 November 2019
• Mathematics
• East Asian Journal on Applied Mathematics
In this work, we consider an integrable three-component coupled Hirota (tcCH) equations in detail via the Riemann-Hilbert (RH) approach. We present some properties of the spectral problems of the tcCH equations with $4\times4$ the Lax pair. Moreover, the RH problem of the equations is established via analyzing the analyticity of the spectrum problem. By studying the symmetry of the spectral problem, we get the spatiotemporal evolution of scattering data. Finally, the $N$-soliton solution is…
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