BBM equation with non-constant coefficients (Q2862243)

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scientific article; zbMATH DE number 6227123
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BBM equation with non-constant coefficients
scientific article; zbMATH DE number 6227123

    Statements

    14 November 2013
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    solitary waves
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    Benjamin-Bona-Mahony (BBM) equation
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    uneven bottom
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    BBM equation with non-constant coefficients (English)
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    A model for the propagation of long waves over an uneven bottom is considered. The work is focused on the solitary waves with long wave length and small amplitude in a channel of slowly varying depth. The author provides both theoretical and numerical results for this model. In addition, some information about the changes which occur in a solitary wave solution of the BBM equation as it travels through a channel of decreasing depth are given.
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