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Article Contents

# Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction

• The existence of travelling heteroclinic waves for the sine-Gordon lattice is proved for a linear interaction of neighbouring atoms. The asymptotic states are chosen such that the action functional is finite. The proof relies on a suitable concentration-compactness argument, which can be shown to hold even though the associated functional has no sub-additive structure.
Mathematics Subject Classification: Primary: 37K60, 74J30; Secondary: 34A34.

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