Weyl functions and the boundary value problem for a matrix nonlinear Schrödinger equation on a semi-strip

2014/03/24 by Alexander Sakhnovich · 1 citation
Mathematics · Physics and Astronomy · #math.AP #math.SP #nlin.SI

paper · pdf · doi:10.1016/j.jmaa.2014.10.012

published as J. Math. Anal. Appl. 423 (2015), 746-757

arxiv created 2014/03/24 · arxiv updated 2016/11/03

Abstract

Rectangular matrix solutions of the defocusing nonlinear Schrödinger equation (dNLS) are considered on a semi-strip. Evolution of the corresponding Weyl function is described in terms of the initial-boundary conditions. Then initial condition is recovered from the boundary conditions. Thus, solutions of dNLS are recovered from the boundary conditions.

Cited by

• Evolution of Weyl functions and initial-boundary value problems