Corpus ID: 16118427

Spike autosolitons in the Gray-Scott model

  title={Spike autosolitons in the Gray-Scott model},
  author={C. Muratov and V. Osipov},
  journal={arXiv: Pattern Formation and Solitons},
  • C. Muratov, V. Osipov
  • Published 1998
  • Physics, Mathematics
  • arXiv: Pattern Formation and Solitons
  • We performed a comprehensive study of the spike autosolitons: self-sustained solitary inhomogeneous states, in the classical reaction-diffusion system --- the Gray-Scott model. We developed singular perturbation techniques based on the strong separation of the length scales to construct asymptotically the solutions in the form of a one-dimensional static autosolitons, higher-dimensional radially-symmetric static autosolitons, and two types of traveling autosolitons. We studied the stability of… CONTINUE READING
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