Anatol Odzijewicz and Alina Ryzko 2002 J. Phys. A: Math. Gen. 35 747 doi:10.1088/0305-4470/35/3/318
Anatol Odzijewicz and Alina Ryzko
Show affiliationsUsing 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 large class of q-difference Riccati equations as well as q-difference Schrödinger equations, which are different from those obtained by the standard Darboux transform.
Issue 3 (25 January 2002)
Received 20 July 2001, in final form 24 October 2001
Published 11 January 2002
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