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The Riemann-Hilbert Approach to Initial-Boundary Value Problems for Integrable Coherently Coupled Nonlinear Schrodinger Systems on the Half-Line
Journal article   Peer reviewed

The Riemann-Hilbert Approach to Initial-Boundary Value Problems for Integrable Coherently Coupled Nonlinear Schrodinger Systems on the Half-Line

Beibei Hu, Tiecheng Xia and Wen-Xiu Ma
East Asian journal on applied mathematics, Vol.8(3), pp.531-548
01/08/2018
DOI: https://doi.org/10.4208/eajam.080318.240418

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
An integrable coherently coupled nonlinear Schrodinger system describing the propagation of polarised optical waves in an isotropic medium with a generalized 4 x 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.

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