Inverse scattering of Canonical systems and their evolution
Analysis of PDEs
2014-11-04 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
In this work we present an analogue of the inverse scattering for Canonical systems using theory of vessels and associated to them completely integrable systems. Analytic coefficients fits into this setting, significantly expanding the class of functions for which the inverse scattering exist. We also derive an evolutionary equation, arising from canonical systems, which describes the evolution of the logarithmic derivative of the tau function, associated to these systems
Keywords
Cite
@article{arxiv.1310.6310,
title = {Inverse scattering of Canonical systems and their evolution},
author = {Andrey Melnikov},
journal= {arXiv preprint arXiv:1310.6310},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1303.5324