Numerical investigation for the solitary waves interaction of the good Boussinesq equation.

DOI10.1016/S0168-9274(02)00187-3zbMath1061.76042MaRDI QIDQ1874214

H. El Zoheiry

Publication date: 22 May 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityblow-up of solutioniterative implicit finite difference scheme

Mathematics Subject Classification ID

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

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Cites Work

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• Numerical solution of equations having inelastic solitary wave interaction
• Nonlinear stability and convergence of finite-difference methods for the good Boussinesq equation
• The solution of the Boussinesq equation using the method of lines
• Numerical Solutions of the Good Boussinesq Equation
• Soliton and antisoliton interactions in the ‘‘good’’ Boussinesq equation
• The Long Wave Limit for a Boussinesq Equation
• A new approach to high-order Boussinesq models
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
• Boussinesq's equation on the circle