Abstract
The modification of soliton properties (e. g. of kinks and breathers) in discrete systems has been studied over a rather long period of time1. Recently Takeno2 has discussed a new type of nonlinear localized excitations (NLE) in one-dimensional discrete lattices. Despite the fact that the existence of NLE was confirmed by computer simulations and approximate one-frequency solutions for the NLE could be found (Q l (t) = Q l (t + 2π/ω1), where Q l is the l-th particle displacement from the ground state position), the reason for the existence of the NLE remained unclear.
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References
A.R. Bishop, G. Grüner and B. Nicolaenko (ed). “Spatio-Temporal Coherence and Chaos in Physical Systems”, North-Holland Physics Publishing, Amsterdam (1986).
S. Takeno, Theory of stationary anharmonic localized modes in solids, J.Phys.Soc.Japan 61:2821(1992).
S. Flach and C.R. Willis, Localized excitations in a discrete Klein-Gordon system, Phys. Lett. A, submitted to.
S. Flach and C.R. Willis, Properties of localized excitations in 1D discrete systems, this volume.
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© 1994 Springer Science+Business Media New York
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Flach, S., Willis, C.R. (1994). Localized Excitations in Discrete Hamiltonian Systems. In: Spatschek, K.H., Mertens, F.G. (eds) Nonlinear Coherent Structures in Physics and Biology. NATO ASI Series, vol 329. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1343-2_7
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DOI: https://doi.org/10.1007/978-1-4899-1343-2_7
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