We consider a 3rd-order generalized Monge-Ampère equa- tion u yyy − u 2 xxy + u xxx u xyy = 0 (which is closely related to the asso- ciativity equation in the 2-d topological field theory) and describe all integrable structures related to it (i.e., Hamiltonian, symplectic, and re- cursion operators). Infinite hierarchies of symmetries and conservation laws are constructed as well.
Integrable structures for a generalized Monge-Ampère equation
Vitolo, R.;
2012-01-01
Abstract
We consider a 3rd-order generalized Monge-Ampère equa- tion u yyy − u 2 xxy + u xxx u xyy = 0 (which is closely related to the asso- ciativity equation in the 2-d topological field theory) and describe all integrable structures related to it (i.e., Hamiltonian, symplectic, and re- cursion operators). Infinite hierarchies of symmetries and conservation laws are constructed as well.File in questo prodotto:
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