A semi-analytic approach to study propagation and amplification of tsunami waves in mid-ocean and their run-up on Shore

DOI10.1007/S11071-023-08550-3zbMath1519.35337MaRDI QIDQ6166554

Yogeshwari F. Patel, Jayesh M. Dhodiya

Publication date: 3 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

shallow water equationnonlinear partial differential equationtsunami wave propagationreduced differential transformation method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Nonlinear first-order PDEs (35F20) Analyticity in context of PDEs (35A20) Series solutions to PDEs (35C10) Initial value problems for nonlinear first-order PDEs (35F25) PDEs in connection with geophysics (35Q86)

Cites Work

• Study of convergence of reduced differential transform method for different classes of differential equations
• Analytical solutions of tsunamis generated by underwater earthquakes
• Long wave runup on piecewise linear topographies

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