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

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

2001-02-22

arxiv.org/abs/math-ph/0102026v1

Physics

Mathematical Physics

11 pages LATEX

Scientific paper

10.1088/0305-4470/35/3/318

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

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