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Loewner evolution and finite dimensional reductions of integrable systems

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.

preprint2014arXivOpen access
Maxim V. PavlovDmitri ProkhorovAlexander Vasil'evAndrey Zakharov
math.CVmath-phmath.MPnlin.SI
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Maxim V. PavlovDmitri ProkhorovAlexander Vasil'evAndrey Zakharov

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