Lie-symmetry vector fields for linear and nonlinear wave equations

DOI10.1007/BF00671857zbMath0696.35097MaRDI QIDQ910580

Willi-Hans Steeb, Norbert Euler

Publication date: 1989

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

zbMATH Keywords

nonlinear wave equationsimilarity solutionsPainlevé testLie symmetry vector fields

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Cites Work

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• Similarity solutions of the Euler equation and the Navier-Stokes equation in two space dimensions
• Similarity methods for differential equations
• On Lie–Bäcklund vector fields of the evolution equations ∂2u/∂x ∂t=f(u) and ∂u/∂t=∂2u/∂x2+f(u)
• Symmetries and vacuum Maxwell’s equations

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