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 the static autosolitons in one and three dimensions and analyzed the properties of the static and the traveling autosolitons.
详细资料
关键词: patt-sol; nlin.PS
文献种类: Journal Article
备注:arXiv:patt-sol/9804001v4; Latex, 96 pages, 39 postscript figures Manuscript restructured, some new results added
作 者
学科领域 自然科学 » 数学
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