Inelastically generated solitons and anti-solitons in the perturbed KdV equation

dc.creatorZarmi, Yair
dc.date2007-10-02
dc.date.accessioned2026-07-07T08:33:32Z
dc.date.available2026-07-07T08:33:32Z
dc.descriptionUnder the effect of common perturbations, the multiple-soliton solution of the KdV equation is transformed into a sum of an elastic and a first-order inelastic component. The elastic component is a perturbation series, identical in structure to the perturbed single-soliton solution. It preserves the soliton-scattering picture. The inelastic component is generated by perturbation terms that represent coupling between KdV solitons and inelastically generated soliton-anti-soliton waves. It asymptotes into solitons and anti-solitons, that evolve along the characteristic lines of the KdV solitons. This is demonstrated in the two-soliton case.
dc.identifierhttps://arxiv.org/abs/0710.0467
dc.identifierhttp://arxiv.org/abs/0710.0467
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139161
dc.subjectPattern Formation and Solitons
dc.titleInelastically generated solitons and anti-solitons in the perturbed KdV equation
dc.typetext

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