Published January 25, 2002 | Version v1
Journal article

The Darboux-like transform and some integrable cases of the q-Riccati equation

  • 1. Institute of Theoretical Physics, University in Bialystok, Bialystok (Poland)

Description

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 large class of q-difference Riccati equations as well as q-difference Schroedinger equations, which are different from those obtained by the standard Darboux transform. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
35
Journal Issue
3
Journal Page Range
p. 747-757
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
33020995
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
INTEGRAL CALCULUS; NUMERICAL SOLUTION; RICCATI EQUATION; SCHROEDINGER EQUATION; TRANSFORMATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS