Method of lines study of nonlinear dispersive waves

DOI10.1016/j.cam.2003.12.012zbMath1052.65084OpenAlexW2085264708MaRDI QIDQ1877292

W. E. Schiesser, Alain Vande Wouwer, Paul Andries Zegeling, Philippe Saucez

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.12.012

zbMATH Keywords

algorithmBoussinesq equationKaup-Kupershmidt equationMethod of linesFinite differencesN-soliton solutionAdaptive mesh refinementKorte\-weg-de Vries equation

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Uses Software

• RODAS

Cites Work

• Symbolic methods to construct exact solutions of nonlinear partial differential equations
• A simple adaptive technique for nonlinear wave problems
• Equidistributing Meshes with Constraints
• Classroom Note:Calculation of Weights in Finite Difference Formulas
• A global investigation of solitary-wave solutions to a two-parameter model for water waves
• Compactons: Solitons with finite wavelength
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