Research

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


Reference:

Kreiner, C. F. and Zimmer, J., 2009. Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction. Discrete and Continuous Dynamical Systems, 25 (3), pp. 915-931.

Related documents:

[img]
Preview
PDF (Zimmer_DCDSA_2009_25_3_915.pdf) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (2685kB) | Preview

    Official URL:

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

    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.

    Details

    Item Type Articles
    CreatorsKreiner, C. F.and Zimmer, J.
    DOI10.3934/dcds.2009.25.915
    Uncontrolled Keywordscontinuum, solitary waves, klein-gordon lattice, travelling waves, concentration compactness
    DepartmentsFaculty of Science > Mathematical Sciences
    RefereedYes
    StatusPublished
    ID Code15797

    Export

    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...