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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 2, Pages 208–224
DOI: https://doi.org/10.4213/tmf8365 (Mi tmf8365) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Integrable structures for a generalized Monge–Ampère equation

A. M. Verbovetskya, R. Vitolob, P. Kerstenc, I. S. Krasil'shchika

a Independent University of Moscow, Moscow, Russia
b Department of Mathematics "E. De Giorgi", University of Salento, Lecce, Italy
c Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente, Enschede, The Netherlands
Full-text PDF (568 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf8365
Abstract: We consider a third-order generalized Monge–Ampère equation $u_{yyy}- u_{xxy}^2+u_{xxx}u_{xyy}=0$, which is closely related to the associativity equation in two-dimensional topological field theory. We describe all integrable structures related to it: Hamiltonian, symplectic, and also recursion operators. We construct infinite hierarchies of symmetries and conservation laws.
Keywords: Monge–Ampère equation, integrability, Hamiltonian operator, symplectic structure, symmetry, conservation law, jet space, WDVV equation, two-dimensional topological field theory.
Received: 17.05.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 2, Pages 600–615
DOI: https://doi.org/10.1007/s11232-012-0058-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Verbovetsky, R. Vitolo, P. Kersten, I. S. Krasil'shchik, “Integrable structures for a generalized Monge–Ampère equation”, TMF, 171:2 (2012), 208–224; Theoret. and Math. Phys., 171:2 (2012), 600–615
Citation in format AMSBIB
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    • This publication is cited in the following 6 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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