Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems
Classical Analysis and ODEs
2012-11-29 v1 Mathematical Physics
math.MP
Spectral Theory
Exactly Solvable and Integrable Systems
Abstract
A non-classical Weyl theory is developed for skew-self-adjoint Dirac systems with rectangular matrix potentials. The notion of the Weyl function is introduced and direct and inverse problems are solved. A Borg-Marchenko type uniqueness result and the evolution of the Weyl function for the corresponding focusing nonlinear Schr\"odinger equation are also derived.
Cite
@article{arxiv.1112.1325,
title = {Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems},
author = {B. Fritzsche and B. Kirstein and I. Ya. Roitberg and A. L. Sakhnovich},
journal= {arXiv preprint arXiv:1112.1325},
year = {2012}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1106.1263