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Integrable nonautonomous KdV systems
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119428.pdf
Date
2002
Author
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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R. Turhan, “Integrable nonautonomous KdV systems,” Ph.D. - Doctoral Program, Middle East Technical University, 2002.