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Heteroclinic Travelling Waves in Convex FPU-Type Chains

Heteroclinic Travelling Waves in Convex FPU-Type Chains

We consider infinite FPU-type atomic chains with general convex potentials and study the existence of monotone fronts that are heteroclinic travelling waves connecting constant asymptotic states. Iooss showed that small amplitude fronts bifurcate from convex-concave turning points of the force. In this paper we prove that fronts exist for any …