Loewner evolution and finite dimensional reductions of integrable systems
classification
🧮 math-ph
math.CVmath.MPnlin.SI
keywords
loewnerequationintegrableknownsystemsbenneychaindimensional
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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.
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