Integrability of a Non-autonomous Coupled KdV System
classification
🌊 nlin.SI
math-phmath.APmath.MP
keywords
coupledintegrabilitynon-autonomouspainlevsystemscasesconditionsexact
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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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