Abstract
Green's function method is used for studying periodic traveling wave solutions of a generalized KdV equation. It is shown through the construction of an explicit Green's function that the periodic boundary-value problem for the traveling wave solution of the KdV equation is equivalent to an integral equation with a symmetrical kernel which generates a compact operator in the space of periodic functions. This integral representation also leads to the existence of a periodic traveling wave solution for an associated inhomogeneous KdV equation.
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