TY - JOUR
T1 - The Riemann-Hilbert Approach to Initial-Boundary Value Problems for Integrable Coherently Coupled Nonlinear Schrödinger Systems on the Half-Line 
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 531
EP - 548
PY - 2018
DA - 2018/08
SN - 8
DO - http://doi.org/10.4208/eajam.080318.240418
UR - https://global-sci.org/intro/article_detail/eajam/12624.html
KW - Riemann-Hilbert problem, coherently coupled nonlinear Schrödinger system, initial-boundary value problem, unified transform method.
AB - <p style="text-align: justify;">An integrable coherently coupled nonlinear Schrödinger system describing
the propagation of polarised optical waves in an isotropic medium with a generalized
4 × 4 matrix Ablowitz-Kaup-Newell-Segur-type Lax pair is studied. The corresponding
initial-boundary value problem is reduced to a matrix Riemann-Hilbert problem in the
complex plane. Moreover, it is shown that the associated spectral functions depend on
each other and satisfy a global relationship.</p>