On substitution principles in ideal magneto-gasdynamics by means of Lie group analysis

DOI10.1007/s11071-005-3584-3zbMath1094.76064OpenAlexW2070455144WikidataQ115381750 ScholiaQ115381750MaRDI QIDQ2499504

Francesco Olivieri

Publication date: 14 August 2006

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-005-3584-3

zbMATH Keywords

invarianceadiabatic indexpoint transformations

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (2)

A consistent approach to approximate Lie symmetries of differential equations ⋮ The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability

Uses Software

• REDUCE

Cites Work

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• Nonlinear partial differential equations in engineering. Vol. II
• Group-Invariant Solutions of Differential Equations
• Similarity solutions for the two-dimensional nonstationary ideal MHD equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Substitution principles in nonsteady magneto-gasdynamics
• Exact solutions to the ideal magneto-gas-dynamics equations through Lie group analysis and substitution principles
• Nonlinear boundary value problems in science and engineering
• Symmetries and differential equations

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