Coupled system description of perturbed KdV equation

dc.creatorZarmi, Yair
dc.date2008-05-28
dc.date.accessioned2026-07-07T09:41:18Z
dc.date.available2026-07-07T09:41:18Z
dc.descriptionIn the multiple-soliton case, the freedom in the expansion of the solution of the perturbed KdV equation is exploited so as to transform the equation into a system of two equations: The (inte-grable) Normal Form for KdV-type solitons, which obey the usual infinity of KdV-conservation laws, and an auxiliary equation that describes the contribution of obstacles to asymptotic inte-grability, which arise from the second order onwards. The analysis has been carried through the third order in the expansion. Within that order, the solution of the auxiliary equation is a con-served quantity.
dc.identifierhttps://arxiv.org/abs/0805.4281
dc.identifierhttp://arxiv.org/abs/0805.4281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161783
dc.subjectExactly Solvable and Integrable Systems
dc.titleCoupled system description of perturbed KdV equation
dc.typetext

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