Blow-up the symmetry analysis for the Hirota-Satsuma equations

DOI10.3103/S1068362308020064zbMath1176.35153OpenAlexW2011443778MaRDI QIDQ732223

Hassan A. Zedan

Publication date: 9 October 2009

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362308020064

zbMATH Keywords

numerical methodsintegrability propertiessymmetry analysisHirota-Satsuma equationsRunge-Kutta-Merson method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Soliton equations (35Q51) Blow-up in context of PDEs (35B44) Methods of ordinary differential equations applied to PDEs (35A24)

Cites Work

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• On the estimation of errors propagated in the numerical integration of ordinary differential equations
• Symmetry analysis of an integrable reaction-diffusion equation
• Global Error Estimation with Runge—Kutta Methods II
• Symmetries and differential equations

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