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.
Articolo in rivista - Articolo scientifico
Konopelchenko's bilocal approach; recursion operators; two-dimensional integral Hamiltonian systems; Nijenhuis G-manifold; Lenard bicomplex; KdV and KP hierarchies
English
457
475
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18497
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