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

Carl Friedrich Kreiner; Johannes Zimmer

doi:10.3934/dcds.2009.25.915

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

Carl Friedrich Kreiner, Johannes Zimmer

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	915-931
Number of pages	17
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	25
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2009.25.915
State	Published - Nov 2009
Externally published	Yes

Keywords

Concentration compactness
Klein-Gordon lattice
Travelling waves

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10.3934/dcds.2009.25.915

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abstract = "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.",

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AB - 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.

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

Abstract

Keywords

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