I.T.Selezov, S.A.Savchenko Propagation of surface gravity waves at the presence of bottom inhomogeneities |
Applied hydromechanics, Vol. 18 (90) ¹ 2, (2016) |
| The problem of nonlinear water waves propagation over the inhomogeneous bottom, characterized by the parameters of nonlinearity α and dispersion β is considered. The system of two coupled evolution equations is obtained for the case of small parameters of the same order (α~β). A non-determination of the problem on soliton disintegration at propagation over an inhomogeneous bottom follows from presented in this paper the nonlinear-dispersive approximations and obtained by Peregrine and Grimshow. The evolution equations in the case of bottom inhomogeneity depending on time are obtained by the asymptotic analysis. The effect of the Winkler's foundation and more general two-parameter Pasternak's foundation on wave propagation is investigated. |
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KEY WORDS: wave propagation, nonlinear-dispersive approximation, bottom inhomogeneity, moving bottom, elastic bed |
| TEXT LANGUAGE: Russian |