Generalisations of the Camassa-Holm equation

dc.creatorNovikov, Vladimir
dc.date2009-05-13
dc.date.accessioned2026-07-07T13:14:55Z
dc.date.available2026-07-07T13:14:55Z
dc.descriptionWe classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. We show that the obtained equations can be treated as negative flows of integrable quasi-linear scalar evolution equations of orders 2, 3 and 5. We present the corresponding Lax representations or linearisation transformations for these equations. Some of the obtained equations seem to be new.
dc.identifierhttps://arxiv.org/abs/0905.2219
dc.identifierhttp://arxiv.org/abs/0905.2219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230331
dc.subjectExactly Solvable and Integrable Systems
dc.titleGeneralisations of the Camassa-Holm equation
dc.typetext

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