Solitary waves in nonlinearly coupled oscillators in resonance
Abstract
A simple model is used to describe the motion of a chain of anharmonically coupled harmonic oscillators whose frequencies are in s:1 resonance, or in which combination resonances occur. It is shown that stable soliton-like excitations exist. Exact quantum states, approximate classical solutions, and numerical simulations of the classical equations are presented.
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Physica D: Nonlinear Phenomena