Localized Excitations in Discrete Hamiltonian Systems
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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