A hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields

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dc.creatorManakov, S. V.
dc.creatorSantini, P. M.
dc.date2006-11-24
dc.date2006-11-29
dc.date.accessioned2026-07-07T07:33:38Z
dc.date.available2026-07-07T07:33:38Z
dc.descriptionWe introduce a hierarchy of integrable PDEs in 2+1 dimensions arising from the commutation of 2-dimensional vector fields. We also solve the associated Cauchy problems, using the recently developed Inverse Scattering Transform for 1-parameter families of multidimensional vector fields.
dc.description12 pages. To be published in Theoretical Mathematical Physics
dc.identifierhttps://arxiv.org/abs/nlin/0611047
dc.identifierhttp://arxiv.org/abs/nlin/0611047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119525
dc.subjectExactly Solvable and Integrable Systems
dc.titleA hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields
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