Particle trajectories in the Serre equations
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Publication:1644027
DOI10.1016/j.amc.2013.12.018zbMath1410.76032OpenAlexW2081935308MaRDI QIDQ1644027
Publication date: 21 June 2018
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.018
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)
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Cites Work
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- Wave breaking in Boussinesq models for undular bores
- Particle dynamics in the KdV approximation
- On particle trajectories in linear water waves
- Mechanical balance laws for Boussinesq models of surface water waves
- Particle trajectories in linear water waves
- Solitons and periodic solutions for the fifth-order KdV equation
- The kinematics and stability of solitary and cnoidal wave solutions of the Serre equations
- A numerical scheme for the Green-Naghdi model
- On the fully-nonlinear shallow-water generalized Serre equations
- Numerical solution of KdV equation using modified bernstein polynomials
- On the theory of water waves
- Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
- Particle Trajectories in Linearized Irrotational Shallow Water Flows
- Particle trajectories in solitary water waves
- A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part I: model development and analysis
- Unsteady undular bores in fully nonlinear shallow-water theory
- Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations