A simple and robust boundary treatment for the forced Korteweg-de Vries equation
DOI10.1016/j.cnsns.2013.12.019zbMath1456.76083OpenAlexW2144219032MaRDI QIDQ2299879
Publication date: 24 February 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.12.019
artificial boundarysemi-implicit finite difference methodfree surface waveabsorbing non-reflecting boundary condition
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long time behavior of solutions of gKdV equations
- Nonlinear waves in media with fifth order dispersion
- Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid -- forced modified KdV equation
- A lattice Boltzmann model for the Korteweg-de Vries equation with two conservation laws
- Stability of some stationary solutions to the forced KdV equation with one or two bumps
- Numerical solution of complex modified Korteweg-de Vries equation by collocation method
- On ``new travelling wave solutions of the KdV and the KdV-Burgers equations
- Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrödinger-KdV equations
- New solitary wave and periodic wave solutions for general types of KdV and KdV-Burgers equations
- A modified tanh-coth method for solving the KdV and the KdV-Burgers equations
- Stability of hydraulic fall and sub-critical cnoidal waves in water flows over a bump
- Central finite difference schemes for nonlinear dispersive waves
- Nonreflecting boundary conditions for discrete waves
- Critical free-surfaces flow over a semi-circular obstruction
- Stability of some stationary solutions for the forced KdV equation
- On the numerical study of the KdV equation by the semi-implicit and leap-frog method
- Two-layer hydraulic falls over an obstacle
- Generalised critical free-surface flows
- The tanh method for traveling wave solutions of nonlinear equations
- Chaos for a damped and forced KdV equation
- Numerical solution of the Korteweg-de Vries (KdV) equation
- A simple transformation for nonlinear waves.
- Evolution of pattern formation under ion bombardment of substrate
- Traveling wave solutions for fifth-order KdV type equations with time-dependent coefficients
- New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations
- Supercritical surface gravity waves generated by a positive forcing
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Forced solitary waves and fronts past submerged obstacles
- Free-surface flow over a semicircular obstruction
- Stationary, transcritical channel flow
- Free-surface flow over an obstruction in a channel
- Stability of forced steady solitary waves
- Multiple Supercritical Solitary Wave Solutions of the Stationary Forced Korteweg-de Vries Equation and Their Stability
- Subcritical, transcritical and supercritical flows over a step
- Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction—Forced extended KdV equation
- Stability of the lower cusped solitary waves
- Trapped waves between submerged obstacles
- On the accuracy of the stationary forced Korteweg-de Vries equation as a model equation for flows over a bump
- Meromorphic solutions of nonlinear ordinary differential equations
- Time-dependent gravity-capillary flows past an obstacle.
This page was built for publication: A simple and robust boundary treatment for the forced Korteweg-de Vries equation
