THE PAINLEVE APPROACH FOR PERTURBED NONLINEAR EQUATIONS - BACKLUND-TYPE AND MIURA-TYPE TRANSFORMATIONS

Authors
ALEXEYEV AA
Citation
Aa. Alexeyev, THE PAINLEVE APPROACH FOR PERTURBED NONLINEAR EQUATIONS - BACKLUND-TYPE AND MIURA-TYPE TRANSFORMATIONS, Journal of physics. A, mathematical and general, 28(6), 1995, pp. 1699-1712
Citations number
18
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
6
Year of publication
1995
Pages
1699 - 1712
Database
ISI
SICI code
0305-4470(1995)28:6<1699:TPAFPN>2.0.ZU;2-G
Abstract
A modification of the singular manifold or WTC method is proposed for perturbed nonlinear PDEs and its application is illustrated with sever al examples. As a result, approximate auto-Backlund and Miura-type tra nsformations are constructed for the equations under consideration.