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Titlebook: Wave Propagation and Diffraction; Mathematical Methods Igor T. Selezov,Yuriy G. Kryvonos,Ivan S. Gandzha Book 2018 Springer Nature Singapor

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Propagation and Evolution of Transient Water Waves,tion of tsunami waves by bottom movements is considered. We formulate an appropriate initial-boundary-value problem and analyse the effect of the sharpness of vertical axisymmetric bottom disturbance and the disturbance duration on the generation of tsunami waves. The propagation of nonlinear waves
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Propagation and Evolution of Transient Water Waves,tion of tsunami waves by bottom movements is considered. We formulate an appropriate initial-boundary-value problem and analyse the effect of the sharpness of vertical axisymmetric bottom disturbance and the disturbance duration on the generation of tsunami waves. The propagation of nonlinear waves
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Spectral Methods in the Theory of Wave Propagation,ubic nonlinearity. The problem is reduced to a high-order nonlinear Schrödinger equation for the complex amplitude of wave envelope. This equation is integrated numerically using a split-step Fourier technique to describe the evolution of quasi-solitons.
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Ray Method of Investigating the Wave Evolution over Arbitrary Topography,al or tabular form. The refraction of waves with allowance for caustics is investigated as well. Based on the nonlinear theory of propagation of surface gravity waves, we also outline an approach describing the nonlinear refraction of waves and present the results demonstrating the effect of nonlinearity.
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