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.
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Rothos, V.M., Feckan, M. (2006). TRAVELLINGWAVES IN A PERTURBED DISCRETE SINE-GORDON EQUATION. In: Faddeev, L., Van Moerbeke, P., Lambert, F. (eds) Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete. NATO Science Series, vol 201. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3503-6_23
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DOI: https://doi.org/10.1007/978-1-4020-3503-6_23
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3501-2
Online ISBN: 978-1-4020-3503-6
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