Prolongation Structures, Backlund Transformations And Painleve Analysis Of Nonlinear Evolution Equations

Description

The Wahlquist-Estabrook prolongation
technique and the Painleve analysis, used for testing
the integrability
of nonlinear evolution equations, are
considered and
applied both to the Drinfel&#039 / d-Sokolov system of
equations, indeed known to be one of the coupled
Korteweg-de Vries (KdV)
systems, and Kersten-Krasil&#039 / shchik coupled KdV-mKdV equations. Some new Backlund
transformations for the Drinfel&#039 / d-Sokolov system of equations are also found.

Links & Downloads

1. http://etd.lib.metu.edu.tr/upload/12605633/index.pdf

Tags

QC Physics 1-999

d-Sokolov, Kersten-Krasil&#039

shchik.

Additional Fields

Identifer	oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12605633/index.pdf
Date	01 November 2004
Creators	Yurdusen, Ismet
Contributors	Karasu, Ayse
Publisher	METU
Source Sets	Middle East Technical Univ.
Language	English
Detected Language	English
Type	Ph.D. Thesis
Format	text/pdf
Rights	To liberate the content for public access