Numerical integration of \((2+1)\) dimensional PDEs for \(S^2\) valued functions

DOI10.1006/jcph.1998.6013zbMath0910.65062OpenAlexW2002704211MaRDI QIDQ1268321

Wojciech J. Zakrzewski, B. M. A. G. Piette

Publication date: 12 April 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.6013

zbMATH Keywords

stabilitycomparison of methodsRunge-Kutta methodfinite differenceleapfrog method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for higher-order parabolic equations (35K30)

Related Items (3)

SKYRMIONS, FULLERENES AND RATIONAL MAPS ⋮ Localized solutions in a two-dimensional Landau-Lifshitz model ⋮ MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION

Cites Work

• Local theory of solutions for the \(0(2k+1)\sigma\)-model
• Dynamics of baby skyrmions
• Soliton scattering in the Skyrme model in (2+1) dimensions. II. More general systems
• Shrinking of solitons in the (2 + 1)-dimensional sigma model
• Soliton scatterings in some relativistic models in (2+1) dimensions
• Soliton stability in the O(3) sigma -model in (2+1) dimensions
• Multi-soliton dynamics in the Skyrme model

This page was built for publication: Numerical integration of \((2+1)\) dimensional PDEs for \(S^2\) valued functions