PROLONGATION STRUCTURES, BÂCKLUND TRANSFORMATIONS AND PAINLEVE ANALYSIS OF NONLINEAR EVOLUTION EQUATIONS

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Prof. Dr. İSMET YURDUŞEN

Tez Türü: Doktora

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Fen Bilimleri Enstitüsü, Türkiye

Tez Danışmanı: Emine Ayşe Karasu

Tezin Onay Tarihi: 2004

Tezin Dili: İngilizce

Özet:

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'd-Sokolov system of equations, indeed known to be one of the coupled Korteweg-de Vries (KdV) systems, and Kersten-Krasil'shchik coupled KdV-mKdV equations. Some new Bâcklund transformations for the Drinfel'd-Sokolov system of equations are also found.