@book{c6006d0cc33d4cebb9d86e4b569b42c1,

title = "The Monge-Amp{\`e}re equation: Hamiltonian and symplectic structures, recursions, and hierarchies",

abstract = "Using methods of geometry and cohomology developed recently, we study the Monge-Amp{\`e}re equation, arising as the first nontrivial equation in the associativity equations, or WDVV equations. We describe Hamiltonian and symplectic structures as well as recursion operators for this equation in its orginal form, thus treating the independent variables on an equal footing. Besides this we present nonlocal symmetries and generating functions (cosymmetries).",

keywords = "MSC-35Q53, MSC-37K05, Hamiltonian structure, Monge-Amp{\`e}re equation, Recursion operator, Associativity equations, Conservation laws, Symplectic structure, Symmetry",

author = "P.H.M. Kersten and I. Krasil'shchik and A. Verbovetsky",

note = "Imported from MEMORANDA",

year = "2004",

language = "English",

series = "Memorandum",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1727",

}