Zakharov-Shabat system and hyperbolic pseudoanalytic function theory
arXiv:0808.3219 · doi:10.1002/mma.1206
Abstract
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.
9 pages
References in corpus (3)
- On a relation of pseudoanalytic function theory to the two-dimensional stationary Schroedinger equation and Taylor series in formal powers for its solutions
- On a factorization of second order elliptic operators and applications
- On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory