On Integrable Doebner-Goldin Equations

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dc.creatorNattermann, P.
dc.creatorZhdanov, R.
dc.date1995-10-10
dc.date.accessioned2026-07-07T10:59:10Z
dc.date.available2026-07-07T10:59:10Z
dc.descriptionWe suggest a method for integrating sub-families of a family of nonlinear {\sc Schrödinger} equations proposed by {\sc H.-D.~Doebner} and {\sc G.A.~Goldin} in the 1+1 dimensional case which have exceptional {\sc Lie} symmetries. Since the method of integration involves non-local transformations of dependent and independent variables, general solutions obtained include implicitly determined functions. By properly specifying one of the arbitrary functions contained in these solutions, we obtain broad classes of explicit square integrable solutions. The physical significance and some analytical properties of the solutions obtained are briefly discussed.
dc.description23 pages, revtex, 1 figure, uses epsfig.sty and amssymb.sty
dc.identifierhttps://arxiv.org/abs/solv-int/9510001
dc.identifierhttp://arxiv.org/abs/solv-int/9510001
dc.identifierJ.Phys.A29:2869-2886,1996
dc.identifierdoi:10.1088/0305-4470/29/11/021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187357
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleOn Integrable Doebner-Goldin Equations
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