Integrable nonautonomous KdV systems

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2002

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Turhan, Refik

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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.

Subject Keywords

Korteweg-de Vries equation, Nonlinear, Recursive functions, Symmetry (Physics), Evolution equations, Differential equations, Evolution systems, Integrability, Symmetry, Recursion, Operator

URI

https://hdl.handle.net/11511/12802

Collections

Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

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