Zakharov-Shabat system and hyperbolic pseudoanalytic function theory

Details Zakharov-Shabat system and hyperbolic pseudoanalytic function theory Zakharov-Shabat system and hyperbolic pseudoanalytic function theory

2008-08-24

arxiv.org/abs/0808.3219v2

Physics

Mathematical Physics

9 pages

Scientific paper

In [1] a hyperbolic analogue of pseudoanalytic function theory was developed.
In the present contribution we show that one of the central objects of the
inverse problem method the Zakharov-Shabat system is closely related to a
hyperbolic Vekua equation for which among other results a generating sequence
and hence a complete system of formal powers can be constructed explicitly.

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