Symmetry vector fields and similarity solutions of a nonlinear field equation describing the relaxation to a Maxwell distribution

DOI10.1007/BF00669316zbMath0697.35141OpenAlexW2075436712MaRDI QIDQ910967

F. M. Mahomed, Peter G. L. Leach, Willi-Hans Steeb, Norbert Euler

Publication date: 1988

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00669316

zbMATH Keywords

ordinary differential equationsrelaxationsimilarity solutionsPainlevé analysisMaxwell distributionnonlinear field equationLie-Bäcklund vector fieldssymmetry vector fields

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Dynamical systems and ergodic theory (37-XX)

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Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics ⋮ Symmetry-invariant conservation laws of partial differential equations ⋮ A complex Noether approach for variational partial differential equations ⋮ Noether-type symmetries and conservation laws via partial Lagrangians

Cites Work

• Diffusion equations and Lie and Lie-Bäcklund transformation groups
• The Painlevé property for partial differential equations
• On Lie–Bäcklund vector fields of the evolution equations ∂2u/∂x ∂t=f(u) and ∂u/∂t=∂2u/∂x2+f(u)
• Unnamed Item