Absorbing boundary conditions for the stationary forced KdV equation

DOI10.1016/J.AMC.2008.02.038zbMath1143.76019OpenAlexW1978350335MaRDI QIDQ942370

B. E. Eshmatov

Publication date: 5 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.02.038

zbMATH Keywords

solitary wavesfinite difference scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (5)

A locally conservative eulerian-Lagrangian finite difference method for the forced KdV equation ⋮ An artificial boundary method for the Hull-White model of American interest rate derivatives ⋮ A study of wave trapping between two obstacles in the forced Korteweg-de Vries equation ⋮ Fully localized solitary waves for the forced Kadomtsev-Petviashvili equation ⋮ Trapped supercritical waves for the forced KdV equation with two bumps

Cites Work

• Numerical solitons of generalized Korteweg-de Vries equations
• A model equation for steady surface waves over a bump
• Critical free-surfaces flow over a semi-circular obstruction
• Generalised critical free-surface flows
• Solitary waves of the regularised long-wave equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Stationary, transcritical channel flow
• Generation of upstream advancing solitons by moving disturbances
• Multiple Supercritical Solitary Wave Solutions of the Stationary Forced Korteweg-de Vries Equation and Their Stability
• Free surface waves over a depression
• On the accuracy of the stationary forced Korteweg-de Vries equation as a model equation for flows over a bump

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