Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems

Details Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems

2011-12-04

arxiv.org/abs/1112.1325v1

Mathematics

Classical Analysis and ODEs

arXiv admin note: substantial text overlap with arXiv:1106.1263

Scientific paper

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.

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