Integrable nonautonomous KdV systems

Turhan, Refik
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.


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Citation Formats
R. Turhan, “Integrable nonautonomous KdV systems,” Ph.D. - Doctoral Program, Middle East Technical University, 2002.