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Short wavelength dynamics of the system of nonlinear oscillators coupled by stretched weightless beam

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  • Manevitch, Leonid I.
  • Musienko, Andrey I.

Abstract

We present analytical and numerical study of short wavelength breathers in the system of asymmetric nonlinear oscillators coupled by stretched weightless beam. The study is focused on modulations of the nonlinear normal mode with shortest wavelength. A small parameter is introduced as ratio of distance between the particles in the chain and characteristic wavelength of modulation. It is shown that in main asymptotic approach the problem can be reduced to nonlinear Schrödinger equation (NSE). Breathers (envelope solitons) are localized oscillating solutions of this equation. We reveal the stability and high mobility of such solutions in their numerical study based on integrating of exact discrete equations of motion.

Suggested Citation

  • Manevitch, Leonid I. & Musienko, Andrey I., 2005. "Short wavelength dynamics of the system of nonlinear oscillators coupled by stretched weightless beam," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 107-116.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:1:p:107-116
    DOI: 10.1016/j.chaos.2004.12.022
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