Year: 2020
Author: Xin Wu, Shou-Fu Tian, Jin-Jie Yang
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 4 : pp. 717–731
Abstract
A Riemann-Hilbert problem is employed to study integrable three-component coupled Hirota (tcCH) equations. Thus, we investigate the spectral properties of tcCH equations with a 4 × 4 Lax pair and derive a Riemann-Hilbert problem, the solution of which is used in constructing $N$-soliton solutions of the tcCH equations. While considering the spatiotemporal evolution of scattering data, the symmetry of the spectral problem is exploited. Graphical examples show new phenomena in soliton collision, including localised structures and dynamic behaviors of one- and two-soliton solutions. The results can be of interest in nonlinear dynamics of $N$-component nonlinear Schrödinger type equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.170120.080420
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 4 : pp. 717–731
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Three-component coupled Hirota equation Riemann-Hilbert approach N-soliton solution.