The Darboux Transform and some Integrable cases of the q-Riccati Equation
Mathematical Physics
2013-11-05 v1 math.MP
Abstract
Using the q-version of the Darboux transform we obtain the general solution of q-difference Riccati equation from a special one by the action of one-parameter group. This allows us to construct the solutions for the latge class of q-difference Riccati equations as well as q-difference Schrodinger equations
Keywords
Cite
@article{arxiv.math-ph/0102026,
title = {The Darboux Transform and some Integrable cases of the q-Riccati Equation},
author = {A. Odzijewicz and A. Ryzko},
journal= {arXiv preprint arXiv:math-ph/0102026},
year = {2013}
}
Comments
11 pages LATEX