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Title:
Loewner evolution and integrable systems
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Abstract:
We argue that the Loewner equation serves as a background tool for some integrable systems. In particular, time splitting leads to the Vlasov equation for the distribution function of plasma, and to the Benney hierarchy. Infinite time splitting gives the Lax function which solves the dispersionless KP hierarcy in which the Benney equations may be recovered as the second in dKP.
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