Parasitic waves and solitons in the numerical solution of the Korteweg-de Vries and modified Korteweg-de Vries equation

DOI10.1016/0021-9991(87)90136-7zbMath0628.65117OpenAlexW2095510948MaRDI QIDQ1093342

Schalk W. Schoombie, Milton Maritz

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90136-7

zbMATH Keywords

numerical experimentssolitonsKorteweg-de Vries equationparasitic wavessolitary saw-toothed wave packet solutionsZabusky-Kruskal discretization

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

Related Items (1)

A discrete multiple scales analysis of a discrete version of the Korteweg-de Vries equation

Cites Work

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• Propagation and stability of wavelike solutions of finite difference equations with variable coefficients
• An explicit finite-difference scheme with exact conservation properties
• Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundstroem
• A Hopscotch method for the Korteweg-de-Vries equation
• The Galerkin Method Based on Hermite Cubics
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Instability of difference models for hyperbolic initial boundary value problems
• Group Velocity in Finite Difference Schemes
• Finite Amplitude Instabilities of Partial Difference Equations

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