Integrability of a Non-autonomous Coupled KdV System

2004/07/30 by Ayse Karasu, Karasu, Ayse, Tuba Kilic +1
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0408001

7 pages, 2 figures, to be published in IJMPC. For related figures, see http://www.metu.edu.tr/~akarasu/figures.html

arxiv created 2004/08/03 · arxiv updated 2009/12/01

Abstract

The Painlevé property of coupled, non-autonomous 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.

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