Analytical and numerical aspects of certain nonlinear evolution equations. IV: Numerical, modified Korteweg-de Vries equation

DOI10.1016/0021-9991(88)90184-2zbMath0646.65087OpenAlexW2061186163MaRDI QIDQ1104063

Mark J. Ablowitz, Thiab R. Taha

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90184-2

zbMATH Keywords

inverse scattering transformnonlinear Schrödinger equationKorteweg-de Vries equationnonlinear partial difference equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

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• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
• An explicit finite-difference scheme with exact conservation properties
• Computational synergetics and mathematical innovation
• Fully discrete galerkin methods for the korteweg-de vries equation
• A numerical and theoretical study of certain nonlinear wave phenomena

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