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Localization of a nonlinear switching wave in an active bistable medium with an isolated inhomogeneity

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Abstract

An analysis is made of the one-dimensional propagation of a switching wave in an active medium when one of the parameters of the medium is a function of the coordinate over a certain region and remains constant outside this region. The possibility of localization (stopping) of the wave at this type of inhomogeneity is investigated. An analytical expression is obtained for the wave shift in the case of a small-amplitude inhomogeneity. Constraints on the amplitude and length of the inhomogeneity at which localization takes place are obtained for an inhomogeneity of finite dimensions.

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Zh. Tekh. Fiz. 67, 14–20 (August 1997)

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Petrovskii, S.V. Localization of a nonlinear switching wave in an active bistable medium with an isolated inhomogeneity. Tech. Phys. 42, 866–871 (1997). https://doi.org/10.1134/1.1258748

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  • DOI: https://doi.org/10.1134/1.1258748

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