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.
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