Inverse problem for the nonlinear long wave runup on a plane sloping beach
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Publication:6170096
DOI10.1016/J.AML.2023.108786zbMath1529.76066arXiv2304.04975OpenAlexW4383617280MaRDI QIDQ6170096
Noah Palmer, Efim Pelinovsky, Alexei Rybkin
Publication date: 15 August 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.04975
linearizationshallow water wave equationsAbel transformCarrier-Greenspan hodograph transformtsunami wave model
Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Inverse problems in fluid mechanics (76M21)
Cites Work
- Method for solving hyperbolic systems with initial data on non-characteristic manifolds with applications to the shallow water wave equations
- The generalized Carrier-Greenspan transform for the shallow water system with arbitrary initial and boundary conditions
- Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach
- Rogue waves in nonlinear hyperbolic systems (shallow-water framework)
- Water waves of finite amplitude on a sloping beach
- Solving the nonlinear shallow-water equations in physical space
- Analytical solutions for tsunami runup on a plane beach: single waves, N-waves and transient waves
- The runup of solitary waves
- A Modern Introduction to the Mathematical Theory of Water Waves
- Tsunami run-up and draw-down on a plane beach
- Nonlinear evolution and runup–rundown of long waves over a sloping beach
- Nonlinear wave run-up in bays of arbitrary cross-section: generalization of the Carrier–Greenspan approach
- Kernel representation of long-wave dynamics on a uniform slope
- Asymptotic, Convergent, and Exact Truncating Series Solutions of the Linear Shallow Water Equations for Channels with Power Law Geometry
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