Riemann-Hilbert problem of the three-component coupled Sasa-Satsuma equation and its multi-soliton solutions

arXiv1910.10301MaRDI QIDQ6327717

Xiu-Bin Wang, Bo Han

Publication date: 22 October 2019

Abstract: In this work, the inverse scattering transform of the three-component coupled Sasa-Satsuma equation is investigated via the Riemann-Hilbert method. Firstly we consider a Lax pair associated with a $7imes7$ matrix spectral problem for the equation. Then we present the spectral analysis of the Lax pair, from which a kind of Riemann-Hilbert problem is formulated. Moreover, $N$-soliton solutions to the equation are constructed through a particular Riemann-Hilbert problem with vanishing scattering coefficients. Finally, the dynamics of the soliton solutions are discussed with some graphics.

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