TY - JOUR
T1 - Riemann-Hilbert Approach and $N$-Soliton Solutions for Three-Component Coupled Hirota Equations
AU - Wu , Xin
AU - Tian , Shou-Fu
AU - Yang , Jin-Jie
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 717
EP - 731
PY - 2020
DA - 2020/08
SN - 10
DO - http://doi.org/10.4208/eajam.170120.080420 
UR - https://global-sci.org/intro/article_detail/eajam/17952.html
KW - Three-component coupled Hirota equation, Riemann-Hilbert approach, N-soliton solution.
AB - <p style="text-align: justify;">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.</p>