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@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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              We study travelling kinks in the spatial discretizations of the nonlinear Klein–Gordon equation, which include the discrete 4 lattice and the discrete sine-Gordon lattice. The differential advance-delay equation for travelling kinks is reduced to the normal form, a scalar fourth-order differential equation, near the quadruple zero eigenvalue. We show numerically the non-existence of monotonic kinks (heteroclinic orbits between adjacent equilibrium points) in the fourth-order equation. Making generic assumptions on the reduced fourth-order equation, we prove the persistence of bounded solutions (heteroclinic connections between periodic solutions near adjacent equilibrium points) in the full differential advance-delay equation with the technique of centre manifold reduction. Existence of multiple kinks in the discrete sine-Gordon equation is discussed in connection to recent numerical results of Aigner et al. [A.A. Aigner, A.R. Champneys, V.M. Rothos, A new barrier to the existence of moving kinks in Frenkel–Kontorova lattices, Physica D 186 (2003) 148–170] and results of our normal form analysis.
            """ ;
    dct:identifier "hal-00023643" ;
    dct:issued "2026-05-27T17:09:30.133180"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-27T17:09:30.133185"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Normal form for travelling kinks in discrete Klein–Gordon lattices" ;
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    dcat:keyword "centre-manifold",
        "discrete-equations",
        "existence-and-persistence-analysis",
        "heteroclinic-orbits",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "kleingordon-lattices",
        "normal-forms",
        "travelling-kinks" ;
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    dct:issued "2026-05-27T17:09:30.206666"^^xsd:dateTime ;
    dct:modified "2026-05-27T17:09:30.109403"^^xsd:dateTime ;
    dct:title "Normal form for travelling kinks in discrete Klein–Gordon lattices" ;
    dcat:accessURL <https://hal.science/hal-00023643> .

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