Explicit solutions to the Korteweg-de Vries equation on the half line

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dc.creatorAktosun, T.
dc.creatorvan der Mee, C.
dc.date2006-06-02
dc.date2007-02-07
dc.date.accessioned2026-07-07T07:45:01Z
dc.date.available2026-07-07T07:45:01Z
dc.descriptionCertain explicit solutions to the Korteweg-de Vries equation in the first quadrant of the $xt$-plane are presented. Such solutions involve algebraic combinations of truly elementary functions, and their initial values correspond to rational reflection coefficients in the associated Schrödinger equation. In the reflectionless case such solutions reduce to pure $N$-soliton solutions. An illustrative example is provided.
dc.description17 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0606008
dc.identifierhttp://arxiv.org/abs/math-ph/0606008
dc.identifierInverse Problems 22 (2006), 2165-2174
dc.identifierdoi:10.1088/0266-5611/22/6/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123403
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject37K15; 35Q51; 35Q53
dc.titleExplicit solutions to the Korteweg-de Vries equation on the half line
dc.typetext

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