Kajiwara, K. and Kimura, K. (2003) On a q-Difference Painlevé III Equation. I. Derivation, Symmetry and Riccati Type Solutions. Journal of Nonlinear Mathematical Physics, 10, 86-102.
https://doi.org/10.2991/jnmp.2003.10.1.7

has been cited by the following article:

• TITLE: The Riccati Equation, Differential Transform, Rational Solutions and Applications

  AUTHORS: Malick Ndiaye

  KEYWORDS: Riccati Equation, Differential Transform, Rational Solutions

  JOURNAL NAME: Applied Mathematics, Vol.13 No.9, September 30, 2022

  ABSTRACT: In this article, the Riccati Equation is considered. Various techniques of finding analytical solutions are explored. Those techniques consist mainly of making a change of variable or the use of Differential Transform. It is shown that the nonconstant rational functions whose numerator and denominator are of degree 1, cannot be solutions to the Riccati equation. Two applications of the Riccati equation are discussed. The first one deals with Quantum Mechanics and the second one deal with Physics.