Integrable nonautonomous KDV systems


Thesis Type: Doctorate

Institution Of The Thesis: Orta Doğu Teknik Üniversitesi, Faculty of Arts and Sciences, Department of Physics, Turkey

Approval Date: 2002

Student: REFİK TURHAN

Supervisor: ATALAY KARASU

Abstract:

Multi-component Korteweg-de Vries (KdV) type of nonautonomous systems in (1+1) dimensions are classified for integrability via existence of a recursion op erator having a certain general form. Integrability conditions are obtained for sys tems with arbitrary number of components. From these conditions two-component integrable systems are explicitly obtained. All the found integrable two-component nonautonomous systems are investigated for their transformability to autonomous systems.