Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations

dc.creatorReyes, Enrique G.
dc.date2002-12-19
dc.date.accessioned2026-07-07T05:34:28Z
dc.date.available2026-07-07T05:34:28Z
dc.descriptionZero curvature formulations, pseudo-potentials, modified versions, ``Miura transformations'', and nonlocal symmetries of the Korteweg--de Vries, Camassa-- Holm and Hunter--Saxton equations are investigated from an unified point of view: these three equations belong to a two--parameters family of equations ``describing pseudo-spherical surfaces'', and therefore their basic integrability properties can be studied by geometrical means.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/nlin/0212045
dc.identifierhttp://arxiv.org/abs/nlin/0212045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80382
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectPattern Formation and Solitons
dc.titlePseudo-potentials, nonlocal symmetries and integrability of some shallow water equations
dc.typetext

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