An Exactly Solvable Model for the Interaction of Linear Waves with Korteweg-de Vries Solitons

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dc.creatorMiller, P. D.
dc.creatorClarke, S. R.
dc.date2001-01-16
dc.date.accessioned2026-07-07T05:33:17Z
dc.date.available2026-07-07T05:33:17Z
dc.descriptionUnder certain mode-matching conditions, small-amplitude waves can be trapped by coupling to solitons of nonlinear fields. We present a model for this phenomenon, consisting of a linear equation coupled to the Korteweg-de Vries equation. The model has one parameter, a coupling constant. For one value of the coupling constant the model becomes the linearized KdV equation. We solve the problem exactly for a different value of the coupling parameter, for which the solutions behave differently. We describe an application of our results to the dynamics of molecules.
dc.description22 Pages. To appear in SIAM J. Math. Anal
dc.identifierhttps://arxiv.org/abs/nlin/0101027
dc.identifierhttp://arxiv.org/abs/nlin/0101027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79948
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPattern Formation and Solitons
dc.titleAn Exactly Solvable Model for the Interaction of Linear Waves with Korteweg-de Vries Solitons
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