An integrable time-dependent non-linear Schrödinger equation

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dc.creatorHorváthy, P. A.
dc.creatorYéra, J. -C.
dc.date1998-06-30
dc.date.accessioned2026-07-07T04:32:26Z
dc.date.available2026-07-07T04:32:26Z
dc.descriptionThe cubic non-linear Schrödinger equation (NLS), where the coefficient of the non-linear term can be a function $F(t,x)$, is shown to pass the Painlevé test of Weiss, Tabor, and Carnevale only for $F=(a+bt)^{-1}$, where $a$ and $b$ constants. This is explained by transforming the time-dependent system into the ordinary NLS (with $F=\const$.) by means of a time-dependent on-linear transformation, related to the conformal properties of non-relativistic space-time.
dc.description7 pages, Plain Tex, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/9806017
dc.identifierhttp://arxiv.org/abs/math-ph/9806017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58190
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleAn integrable time-dependent non-linear Schrödinger equation
dc.typetext

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