Traveling spike autosolitons in the Gray-Scott model
作者： C.B Muratov , V.V Osipov
DOI: 10.1016/S0167-2789(01)00259-7
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摘要: Abstract We developed singular perturbation techniques based on the strong separation of time and length scales to construct solutions in form traveling spike autosolitons (self-sustained solitary waves) Gray–Scott model an autocatalytic reaction. found that when inhibitor diffusion is sufficiently slow, ultrafast are realized a wide range parameters. When fast, slower with precursor realized. asymptotically calculated main parameters such as speed amplitude these well regions their existence model. also showed certain parameter coexist static.
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