On integrable structures for a generalized Monge-Ampere equation

Details On integrable structures for a generalized Monge-Ampere equation On integrable structures for a generalized Monge-Ampere equation

2011-04-01

arxiv.org/abs/1104.0258v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages; v2: minor corrections

Scientific paper

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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