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

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

preprint2001arXivOpen access
A. OdzijewiczA. Ryzko
math-phmath.MP
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A. OdzijewiczA. Ryzko

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