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arXiv · 1112.1325

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

B. Fritzsche·B. Kirstein·I. Ya. Roitberg·A. L. Sakhnovich
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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 Schrödinger equation are also derived.

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B. Fritzsche, B. Kirstein, I. Ya. Roitberg, A. L. Sakhnovich. 2011-12-04. Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problems. https://arxiv.org/abs/1112.1325

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