On finite-difference methods for the Korteweg-de Vries equation

DOI10.1007/BF01535405zbMath0221.76003MaRDI QIDQ2547513

A. C. Vliegenthart

Publication date: 1971

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)

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Cites Work

• Dispersion of non-linear shallow water waves
• Dissipative difference schemes for shallow water equations
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Method for Solving the Korteweg-deVries Equation
• Convective Difference Schemes
• Systems of conservation laws
• Integrals of nonlinear equations of evolution and solitary waves
• On the equations of motion for mixtures of liquid and gas bubbles
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
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