Fractional Darboux Transformations
数学物理
2007-05-23 v2 动力系统
math.MP
摘要
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.
引用
@article{arxiv.math-ph/0202020,
title = {Fractional Darboux Transformations},
author = {Mayer Humi},
journal= {arXiv preprint arXiv:math-ph/0202020},
year = {2007}
}
备注
15 pages,submitted N.C. B corrected some typos added two references