INTEGRABILITY OF A NONAUTONOMOUS COUPLED KdV SYSTEM
INTEGRABILITY OF A NONAUTONOMOUS COUPLED KdV SYSTEM
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.