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On integrable structures for a generalized Monge-Ampere equation
Published 1 Apr 2011 in nlin.SI, math-ph, and math.MP | (1104.0258v2)
Abstract: We consider a 3rd-order generalized Monge-Ampere equation u_yyy - u_xxy2 + 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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