Loewner evolution and finite dimensional reductions of integrable systems
Mathematical Physics
2015-06-19 v2 Complex Variables
math.MP
Exactly Solvable and Integrable Systems
Abstract
The Loewner equation is known as a one-dimensional reduction of the Benney chain as well as the dispersionless KP hierarchy. We propose a reverse process showing that time splitting in the Loewner or the Loewner-Kufarev equation leads to some known integrable systems.
Keywords
Cite
@article{arxiv.1406.0610,
title = {Loewner evolution and finite dimensional reductions of integrable systems},
author = {Maxim V. Pavlov and Dmitri Prokhorov and Alexander Vasil'ev and Andrey Zakharov},
journal= {arXiv preprint arXiv:1406.0610},
year = {2015}
}