Ontology highlight
ABSTRACT:
SUBMITTER: Tian SF
PROVIDER: S-EPMC5134312 | biostudies-literature | 2016 Nov
REPOSITORIES: biostudies-literature
Proceedings. Mathematical, physical, and engineering sciences 20161101 2195
In this paper, we implement the Fokas method to study initial-boundary value problems of the mixed coupled nonlinear Schrödinger equation formulated on the half-line with Lax pairs involving 3×3 matrices. The solution can be written in terms of the solution to a 3×3 Riemann-Hilbert problem. The relevant jump matrices are explicitly expressed in terms of the matrix-value spectral functions <i>s</i>(<i>k</i>) and <i>S</i>(<i>k</i>), which are determined by the initial values and boundary values at ...[more]