Bi-Hamiltonian geometry, Darboux coverings, and linearization of the KP hierarchy
| Autor: | Marco Pedroni, Gregorio Falqui, Franco Magri |
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| Přispěvatelé: | Falqui, G, Magri, F, Pedroni, M |
| Jazyk: | angličtina |
| Rok vydání: | 1998 |
| Předmět: |
KdV equation
Conservation law Nonlinear Sciences - Exactly Solvable and Integrable Systems Hierarchy (mathematics) FOS: Physical sciences Statistical and Nonlinear Physics Geometry Construct (python library) Type (model theory) Bi-Hamiltonian geometry MAT/07 - FISICA MATEMATICA Nonlinear Sciences::Exactly Solvable and Integrable Systems Linearization Ordinary differential equation Exactly Solvable and Integrable Systems (nlin.SI) KP equation Mathematical Physics Mathematics |
| Zdroj: | Scopus-Elsevier |
| Popis: | We use ideas of the geometry of bihamiltonian manifolds, developed by Gel'fand and Zakharevich, to study the KP equations. In this approach they have the form of local conservation laws, and can be traded for a system of ordinary differential equations of Riccati type, which we call the Central System. We show that the latter can be linearized by means of a Darboux covering, and we use this procedure as an alternative technique to construct rational solutions of the KP equations. Latex, 27 pages. To appear in Commun. Math. Phys |
| Databáze: | OpenAIRE |
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