Asymptotic Solutions of the Cauchy Problem for the Nonlinear Shallow Water Equations in a Basin with a Gently Sloping Beach
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://link.springer.com/content/pdf/10.1134/S1061920822010034.pdf
Reference16 articles.
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2. G. F. Carrier, H. P. Greenspan, “Water waves of finite amplitude on a sloping beach”, J. Fluid Mech., 4:1 (1958), 97–109.
3. E. Pelinovsky, R. Mazova, “Exact analytical solutions of nonlinear problems of tsunami wave run-up on slopes with different profiles”, Natural Hazards, 6 (1992), 227–249.
4. Dobrokhotov S. Yu, Tirozzi B., “Localized solutions of one-dimensional non-linear shallow-water equations with velocity $$c=\sqrt x$$”, Russ. Math. Surv., 65:1 (2010), 177–179.
5. I. Didenkulova, E. Pelinovsky, “Rogue waves in nonlinear hyperbolic systems (shallow-water framework)”, Nonlinearity, 24 (2011), R1–R18.
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