A modified explicit numerical scheme for the two-dimensional sine-Gordon equation

DOI10.1080/00207160701417415zbMath1132.35449OpenAlexW2126300977MaRDI QIDQ5451463

A. G. Bratsos

Publication date: 27 March 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701417415

zbMATH Keywords

solitonfinite-difference methodpredictor-correctorSine-Gordon

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) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Soliton equations (35Q51) Numerical algorithms for specific classes of architectures (65Y10)

Related Items (3)

A fourth-order AVF method for the numerical integration of sine-Gordon equation ⋮ A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach ⋮ AN IMPROVED SECOND-ORDER NUMERICAL METHOD FOR THE GENERALIZED BURGERS–FISHER EQUATION

Cites Work

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• Numerical study of \(2+1\) dimensional sine-Gordon solitons
• Finite element approximation to two-dimensional sine-Gordon solitons
• Numerical solutions of a damped sine-Gordon equation in two space variables
• Exact Solution on then-Dimensional Sine-Gordon Equation
• Kadomstev-Petviashvile and two-dimensional sine-Gordon equations: reduction to Painleve transcendents
• An explicit numerical scheme for the Sine-Gordon equation in 2+1 dimensions

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