Exterior Differential Systems, Prolongations and the Integrability of Two Nonlinear Partial Differential Equations

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dc.creatorBracken, Paul
dc.date2009-03-24
dc.date.accessioned2026-07-07T12:56:10Z
dc.date.available2026-07-07T12:56:10Z
dc.descriptionA generalized KdV equation is formulated as an exterior differential system, which is used to determine the prolongation structure of the equation. The prolongation structure is obtained for several cases of the variable powers, and nontrivial algebras are determined. The analysis is extended to a differential system which gives the Camassa-Holm equation as a particular case. The subject of conservation laws is briefly discussed for each of the equations. A Backlund transformation is determined using one of the prolongations.
dc.description22 pgs
dc.identifierhttps://arxiv.org/abs/0903.4163
dc.identifierhttp://arxiv.org/abs/0903.4163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224492
dc.subjectMathematical Physics
dc.subject35G20, 35Q53, 37J35, 37K25
dc.titleExterior Differential Systems, Prolongations and the Integrability of Two Nonlinear Partial Differential Equations
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