Fractional Darboux Transformations

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dc.creatorHumi, Mayer
dc.date2002-02-13
dc.date2002-04-09
dc.date.accessioned2026-07-25T22:18:26Z
dc.descriptionIn this paper we utilize the covariance of Ricatti equation with respect to linear fractional transformations to define classes of conformally equivalent second order differential equations. This motivates then the introduction of fractional Darboux transformations which can be recognized also as generalized Cole-Hopf transformations. We apply these transformations to find Schrodinger equations with isospectral potentials and to the linearization of some new classes of nonlinear partial differential equations.
dc.description15 pages,submitted N.C. B corrected some typos added two references
dc.identifierhttps://arxiv.org/abs/math-ph/0202020
dc.identifierhttp://arxiv.org/abs/math-ph/0202020
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/87775
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.titleFractional Darboux Transformations
dc.typetext

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