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arXiv · 1104.0258

On integrable structures for a generalized Monge-Ampere equation

Paul Kersten·Iosif Krasil'shchik·Alexander Verbovetsky·Raffaele Vitolo
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Abstract

We consider a 3rd-order generalized Monge-Ampere equation u_yyy - u_xxy^2 + u_xxx u_xyy = 0 (which is closely related to the associativity equation in the 2-d topological field theory) and describe all integrable structures related to it (i.e., Hamiltonian, symplectic, and recursion operators). Infinite hierarchies of symmetries and conservation laws are constructed as well.

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Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo. 2011-04-01. On integrable structures for a generalized Monge-Ampere equation. https://doi.org/10.1007/s11232-012-0058-x

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