On integrable structures for a generalized Monge-Ampere equation
Exactly Solvable and Integrable Systems
2012-06-12 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1104.0258,
title = {On integrable structures for a generalized Monge-Ampere equation},
author = {Paul Kersten and Iosif Krasil'shchik and Alexander Verbovetsky and Raffaele Vitolo},
journal= {arXiv preprint arXiv:1104.0258},
year = {2012}
}
Comments
17 pages; v2: minor corrections