Abstract

The existence of traveling waves is studied analytical for discrete sine-Gordon equation with an inter-site potential. The reduced functional differential equation is formulated as an infinite dimensional differential equation which is reduced by a centre manifold method and to a 4-dimensional singular ODE with certain symmetries and with heteroclinic structure. The bifurcations of solutions from heteroclinic ones are investigated for singular perturbed systems.Key wordslattice sine-Gordoncenter manifold reductionnormal form theorybifurcations

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