### Abstract

Original language | English |
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Pages (from-to) | 915-931 |

Number of pages | 17 |

Journal | Discrete and Continuous Dynamical Systems |

Volume | 25 |

Issue number | 3 |

DOIs | |

Publication status | Published - Nov 2009 |

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### Keywords

- continuum
- solitary waves
- Klein-Gordon lattice
- travelling waves
- concentration compactness

### Cite this

**Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction.** / Kreiner, C F; Zimmer, J.

Research output: Contribution to journal › Article

*Discrete and Continuous Dynamical Systems*, vol. 25, no. 3, pp. 915-931. https://doi.org/10.3934/dcds.2009.25.915

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TY - JOUR

T1 - Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction

AU - Kreiner, C F

AU - Zimmer, J

PY - 2009/11

Y1 - 2009/11

N2 - 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.

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.

KW - continuum

KW - solitary waves

KW - Klein-Gordon lattice

KW - travelling waves

KW - concentration compactness

UR - http://www.scopus.com/inward/record.url?scp=72249110419&partnerID=8YFLogxK

UR - http://dx.doi.org/10.3934/dcds.2009.25.915

U2 - 10.3934/dcds.2009.25.915

DO - 10.3934/dcds.2009.25.915

M3 - Article

VL - 25

SP - 915

EP - 931

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - 3

ER -