Gauge symmetries for a coupled Korteweg-de Vries system

摘要

We introduce a gauge invariant Hamiltonian which generalizes one of the Hamiltonian structures of a parametric KdV system, which includes the complex KdV system. The associated canonical field equations have an infinite sequence of conserved quantities which are also gauge invariant. The gauge symmetry relates a wide class of integrable systems to the complex KdV system.