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arXiv · 0710.3302

On the Caudrey-Beals-Coifman System and the Gauge Group Action

Georgi G. Grahovski·Marissa Condon
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Abstract

The generalized Zakharov-Shabat systems with complex-valued Cartan elements and the systems studied by Caudrey, Beals and Coifman (CBC systems) and their gauge equivalent are studies. This includes: the properties of fundamental analytical solutions (FAS) for the gauge-equivalent to CBC systems and the minimal set of scattering data; the description of the class of nonlinear evolutionary equations solvable by the inverse scattering method and the recursion operator, related to such systems; the hierarchies of Hamiltonian structures.

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Georgi G. Grahovski, Marissa Condon. 2007-10-17. On the Caudrey-Beals-Coifman System and the Gauge Group Action. https://doi.org/10.2991/jnmp.2008.15.s3.20

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