Geodesic
Löwner evolution and finite-dimensional reductions of integrable systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 1, pp. 155-172 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Löwner equation is known as the one-dimensional reduction of the Benney chain and also as the dispersionless KP hierarchy. We propose a reverse process and show that time splitting in the Löwner or the Löwner–Kufarev equation leads to some known integrable systems.
Mots-clés : Löwner equation, Vlasov equation, hydrodynamic chain
Keywords: integrable system, Benney moment, collisionless kinetic equation, Hamiltonian structure, hydrodynamic reduction. 
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M. V. Pavlov; D. V. Prokhorov; A. Yu. Vasiliev; A. M. Zaharov. Löwner evolution and finite-dimensional reductions of integrable systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 1, pp. 155-172. http://geodesic.mathdoc.fr/item/TMF_2014_181_1_a7/

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