Asymptotics of waves on the shallow water generated by spatially-localized sources and trapped by underwater ridges

DOI10.1134/S1061920813010020zbMath1276.76011OpenAlexW2012600052MaRDI QIDQ384374

D. A. Lozhnikov, S. Yu. Dobrokhotov, Carlos A. Vargas

Publication date: 27 November 2013

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920813010020

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (3)

Far fields of the surface disturbances produced by a pulsating source in an infinite-depth fluid ⋮ Uniform asymptotics of the far fields of the surface disturbances produced by a source in a heavy infinite-depth fluid ⋮ Exact and asymptotic solutions of the equation of internal gravity waves in a wedge-shaped region

Cites Work

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• Analytic-numerical description of asymptotic solutions of a Cauchy problem in a neighborhood of singularities for a linearized system of shallow-water equations
• Cubic hypersurfaces and a result of Hermite
• A class of exact algebraic localized solutions of the multidimensional wave equation
• Asymptotic solutions of the linear shallow-water equations with localized initial data
• Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations
• Behavior near the focal points of asymptotic solutions to the Cauchy problem for the linearized shallow water equations with initial localized perturbations
• Simple asymptotic solution of the Cauchy-Poisson problem for head waves
• The asymptotic eigenfunctions of the operator \(\nabla D(x,y)\nabla\) corresponding to Liouville metrics and waves on water captured by bottom irregularities
• Surface waves on water of non-uniform depth
• Ergodicity in wave-wave diffraction
• Description of tsunami propagation based on the Maslov canonical operator
• Focused tsunami waves

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