Nonlinear waves in Newton's cradle and the discrete p-Schroedinger equation

  title={Nonlinear waves in Newton's cradle and the discrete p-Schroedinger equation},
  author={Guillaume James},
  journal={arXiv: Pattern Formation and Solitons},
  • G. James
  • Published 6 August 2010
  • Physics, Mathematics
  • arXiv: Pattern Formation and Solitons
We study nonlinear waves in Newton's cradle, a classical mechanical system consisting of a chain of beads attached to linear pendula and interacting nonlinearly via Hertz's contact forces. We formally derive a spatially discrete modulation equation, for small amplitude nonlinear waves consisting of slow modulations of time-periodic linear oscillations. The fully-nonlinear and unilateral interactions between beads yield a nonstandard modulation equation that we call the discrete p-Schroedinger… Expand
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