We discuss how the Camassa-Holm hierarchy can be framed within the geometry of the Sato Grassmannian. We discuss the geometry of an extension of the negative flows of the CH hierarchy, recover the well-known CH equations, and frame the problem within the theory of pseudo-differential operators.

Falqui, G., & Ortenzi, G. (2008). The Sato Grassmannian and the CH hierarchy. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 15(suppl 3), 310-322 [10.2991/jnmp.2008.15.s3.30].

The Sato Grassmannian and the CH hierarchy

FALQUI, GREGORIO;ORTENZI, GIOVANNI
2008

Abstract

We discuss how the Camassa-Holm hierarchy can be framed within the geometry of the Sato Grassmannian. We discuss the geometry of an extension of the negative flows of the CH hierarchy, recover the well-known CH equations, and frame the problem within the theory of pseudo-differential operators.
Articolo in rivista - Articolo scientifico
Scientifica
Universal Grassmannian Manifold; Camassa Holm equation; Bihamiltonian geometry
English
310
322
13
Falqui, G., & Ortenzi, G. (2008). The Sato Grassmannian and the CH hierarchy. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 15(suppl 3), 310-322 [10.2991/jnmp.2008.15.s3.30].
Falqui, G; Ortenzi, G
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/8338
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