Acoustic Scattering and the Extended Korteweg deVries hierarchy

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dc.creatorBeals, R.
dc.creatorSattinger, D. H.
dc.creatorSzmigielski, J.
dc.date1999-01-21
dc.date.accessioned2026-07-07T06:17:44Z
dc.date.available2026-07-07T06:17:44Z
dc.descriptionThe acoustic scattering operator on the real line is mapped to a Schrödinger operator under the Liouville transformation. The potentials in the image are characterized precisely in terms of their scattering data, and the inverse transformation is obtained as a simple, linear quadrature. An existence theorem for the associated Harry Dym flows is proved, using the scattering method. The scattering problem associated with the Camassa-Holm flows on the real line is solved explicitly for a special case, which is used to reduce a general class of such problems to scattering problems on finite intervals.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/solv-int/9901007
dc.identifierhttp://arxiv.org/abs/solv-int/9901007
dc.identifierAdvances in Mathematics, vol 140, (1998), 190-206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94490
dc.subjectExactly Solvable and Integrable Systems
dc.titleAcoustic Scattering and the Extended Korteweg deVries hierarchy
dc.typetext

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