Non-standard boundary conditions for the linearized Korteweg-de Vries equation

DOI10.3934/dcdss.2021066zbMath1481.65118OpenAlexW3171568333MaRDI QIDQ2063966

Sabah Kaouri, Mostafa Abounouh, Hassan Al Moatassime

Publication date: 3 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2021066

zbMATH Keywords

finite difference methodsolitonsKdV equationabsorbing boundary conditionsartificial boundary conditionsdispersive equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton solutions (35C08)

Cites Work

• Nonlinear waves in fluid flow through a viscoelastic tube
• Short proof of a discrete Gronwall inequality
• Interpolation and approximation by polynomials
• A simple and robust boundary treatment for the forced Korteweg-de Vries equation
• On the dual Petrov-Galerkin formulation of the KdV equation on a finite interval
• Discrete artificial boundary conditions for the linearized Korteweg-de Vries equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation
• Novel Transparent Boundary Conditions for the Regularized Long Wave Equation
• Numerical solution to a linearized KdV equation on unbounded domain
• Unnamed Item

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