Integrability of a Non-autonomous Coupled KdV System

Details Integrability of a Non-autonomous Coupled KdV System Integrability of a Non-autonomous Coupled KdV System

2004-07-30

arxiv.org/abs/nlin/0408001v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

The Painlev\'{e} property of coupled, non-autonomous Korteweg-de Vries (KdV)
type of systems is studied. The conditions under which the systems pass the
Painlev\'{e} test for integrability are obtained. For some of the integrable
cases, exact solutions are given.

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