INTEGRABILITY OF A NONAUTONOMOUS COUPLED KdV SYSTEM

Ayşe Karasu(kalkanli) () and Tuba Kiliç
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Ayşe Karasu(kalkanli): Department of Physics, Middle East Technical University, 06531 Ankara, Turkey
Tuba Kiliç: Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 05, 609-617

Abstract: The Painlevé property of coupled, nonautonomous Korteweg–de Vries (KdV) type of systems is studied. The conditions under which the systems pass the Painlevé test for integrability are obtained. For some of the integrable cases, exact solutions are given.

Keywords: Nonautonomous KdV systems; Painlevé analysis; exact solutions (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006145

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