Nonlinear wave dynamics in self-consistent water channels
From MaRDI portal
Publication:4602777
DOI10.1088/1751-8121/aa923ezbMath1387.76013OpenAlexW2762075408MaRDI QIDQ4602777
Ekaterina Shurgalina, Nataly Aseeva, Ira Didenkulova, Efim Pelinovsky
Publication date: 1 February 2018
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8121/aa923e
shallow water channelsstrongly inhomogeneous mediadispersive and nondispersive wavesself-consistent channelsvariable-coefficient Korteweg-de Vries (KdV) equation
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items
Reflectionless wave propagation on shallow water with variable bathymetry and current. Part 2 ⋮ Asymptotic, Convergent, and Exact Truncating Series Solutions of the Linear Shallow Water Equations for Channels with Power Law Geometry ⋮ Reflectionless wave propagation on shallow water with variable bathymetry and current
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-dispersive traveling waves in inclined shallow water channels
- Wave breaking in Boussinesq models for undular bores
- Solitary wave transformation on the underwater step: asymptotic theory and numerical experiments
- Homogenization of the variable-speed wave equation
- An analytical and numerical study of long wave run-up in U-shaped and V-shaped bays
- Soliton dynamics in a strong periodic field: the Korteweg-de Vries framework
- Bottom pressure distribution under a solitonic wave reflecting on a vertical wall
- On the formulation of mass, momentum and energy conservation in the KdV equation
- A numerical scheme for the Green-Naghdi model
- Delta shock waves in shallow water flow
- A 1D Stabilized Finite Element Model for Non-hydrostatic Wave Breaking and Run-up
- Long wave propagation and run-up in converging bays
- On shallow water rogue wave formation in strongly inhomogeneous channels
- Rogue waves in nonlinear hyperbolic systems (shallow-water framework)
- Solitary wave dynamics in shallow water over periodic topography
- Variable depth KdV equations and generalizations to more nonlinear regimes
- The development of a solitary wave in a channel of variable elliptical cross section
- A Korteweg–de Vries equation modified by viscosity for waves in a channel of uniform but arbitrary cross section
- Nonlinear water waves in channels of arbitrary shape
- A derivation of equations for wave propagation in water of variable depth
- Propagation of solitary waves through significantly curved shallow water channels
- Evolution of long water waves in variable channels
- Nonlinear wave run-up in bays of arbitrary cross-section: generalization of the Carrier–Greenspan approach
- Solitary waves propagating over variable topography
- Rotational and irrotational solitary waves in a channel with arbitrary cross section
- Long waves in a uniform channel of arbitrary cross-section
- Asymptotic Theory of Unsteady Three-Dimensional Waves in a Channel of Arbitrary Cross Section
- Long Waves in a Stratified Fluid over a Channel of Arbitrary Cross Section
- The propagation of large amplitude tsunamis across a basin of changing depth Part 1.Off-shore behaviour
- Some numerical solutions of a variable-coefficient Korteweg-de Vries equation (with applications to solitary wave development on a shelf)
- Cnoidal waves and bores in uniform channels of arbitrary cross-section