LÖwner evolution and finite-dimensional reductions of integrable systems

被引:0
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作者
M. V. Pavlov
D. V. Prokhorov
A. Yu. Vasil’ev
A. M. Zakharov
机构
[1] RAS,Lebedev Physical Institute
[2] National Research Nuclear University MEPhI (Moscow Engineering Physics Institute),Department of Mathematics
[3] Saratov State University,undefined
[4] University of Bergen,undefined
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关键词
Löwner equation; integrable system; Vlasov equation; Benney moment; collisionless kinetic equation; Hamiltonian structure; hydrodynamic chain; hydrodynamic reduction;
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摘要
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.
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页码:1263 / 1278
页数:15
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