On the Geometry of Soliton Equations

Franco Magri
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Franco Magri: Università di Milano, Dipartimento di Matematica

A chapter in Geometric and Algebraic Structures in Differential Equations, 1995, pp 247-270 from Springer

Abstract: Abstract The paper aims to suggest a geometric point of view in the theory of soliton equations. The belief is that a deeper understanding of the origin of these equations may provide a better understanding of their remarkable properties. According to the geometric point of view, soliton equations are the outcome of a specific reduction process of a bi-Hamiltonian manifold. The suggestion of the paper is to pay attention also to the ‘unreduced form’ of soliton equations.

Keywords: soliton equations; integrable systems; bi-Hamiltonian manifolds (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0179-7_14

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DOI: 10.1007/978-94-009-0179-7_14

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