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Fractional Darboux Transformations by Humi, Mayer is a scholarly article available to read on EtoBox.

What is Fractional Darboux Transformations about?

In 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.

Author

Humi, Mayer

Published

2002

Language

EN