DEFORMATIONS OF THE RICCATI EQUATION BY USING MIURA-TYPE TRANSFORMATIONS

Authors
Citation
Sy. Lou, DEFORMATIONS OF THE RICCATI EQUATION BY USING MIURA-TYPE TRANSFORMATIONS, Journal of physics. A, mathematical and general, 30(20), 1997, pp. 7259-7267
Citations number
46
Categorie Soggetti
Physics,"Physycs, Mathematical
ISSN journal
03054470
Volume
30
Issue
20
Year of publication
1997
Pages
7259 - 7267
Database
ISI
SICI code
0305-4470(1997)30:20<7259:DOTREB>2.0.ZU;2-E
Abstract
Using some different Miura-type transformations, a C-integrable ordina ry differential equation, the Riccati equation, is deformed to some di fferent S-integrable models such as the (1 + 1)-dimensional and (2 + 1 )-dimensional sinh-Gordon equations and Mikhailov-Dodd-Bullough equati ons.