We suggest a method to extend the theory of recursion operators to integrable Hamiltonian systems in two-space dimensions, like KP systems. The approach aims to stress the conceptual unity of the theories in one and two space dimensions. A sound explanation of the appearance of bilocal operators is also given. © 1988 Springer-Verlag.
Magri, F., Morosi, C., Tondo, G. (1988). Nijenhuis $G$-manifolds and Lenard bicomplexes: a new approach to KP systems. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 115(3), 457-475.
Nijenhuis $G$-manifolds and Lenard bicomplexes: a new approach to KP systems
MAGRI, FRANCO;
1988
Abstract
We suggest a method to extend the theory of recursion operators to integrable Hamiltonian systems in two-space dimensions, like KP systems. The approach aims to stress the conceptual unity of the theories in one and two space dimensions. A sound explanation of the appearance of bilocal operators is also given. © 1988 Springer-Verlag.
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