Kink-profile vibrational modes in one-dimensional nonlinear lattices
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It is shown that highly localized discrete modes may exist on a nonlinear standing background wave. In the framework of the rotating wave approximation, a few types of such modes are found analytically and numerically for the chain of particles interacting through harmonic and quartic anharmonic potentials inthe case of the so-called "hard" nonlinearity. The case of "soft" nonlinearity is also briefly discussed.
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Physics Letters, Section A: General, Atomic and Solid State Physics