The Darboux Transform and some Integrable cases of the q-Riccati Equation

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

11 pages LATEX

References in corpus (1)

• The finite difference algorithm for higher order supersymmetry

Cited by in corpus (2)

• Factorization method for second order functional equations
• Darboux transformations and second order difference equations