On integrable structures for a generalized Monge-Ampere equation
Abstract
We consider a 3rd-order generalized Monge-Ampere equation uyyy - uxxy2 + uxxx uxyy = 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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