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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 181, Number 1, Pages 155–172
DOI: https://doi.org/10.4213/tmf8724 (Mi tmf8724) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Löwner evolution and finite-dimensional reductions of integrable systems

M. V. Pavlovab, D. V. Prokhorovc, A. Yu. Vasilievd, A. M. Zaharovc

a Lebedev Physical Institute, RAS, Moscow, Russia
b National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia
c Saratov State University, Saratov, Russia
d Department of Mathematics, University of Bergen, Bergen, Norway
Full-text PDF (467 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8724
Abstract: 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.
Keywords: Löwner equation, integrable system, Vlasov equation, Benney moment, collisionless kinetic equation, Hamiltonian structure, hydrodynamic chain, hydrodynamic reduction.
Received: 04.06.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 1, Pages 1263–1278
DOI: https://doi.org/10.1007/s11232-014-0211-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Pavlov, D. V. Prokhorov, A. Yu. Vasiliev, A. M. Zaharov, “Löwner evolution and finite-dimensional reductions of integrable systems”, TMF, 181:1 (2014), 155–172; Theoret. and Math. Phys., 181:1 (2014), 1263–1278
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v181/i1/p155
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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