Abstract
Rational pole-solutions of a perturbed KdV equation, describing nonlinear ion-acoustic plasma waves, become chaotic in time, when a small perturbation is periodically driven. A McGehee transformation blows up a degenerate stationary point at infinity and the Smale-Birkhoff Homoclinic. Theorem adapted to submanifolds in phase permits the use of the Melnikov method, with pole-solutions being homoclinic orbits.
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