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On group properties and conservation laws for second-order quasi-linear differential equations

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Publication:368880
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DOI10.1007/S10808-009-0055-5zbMath1272.35015OpenAlexW2152466835MaRDI QIDQ368880

Yu. A. Chirkunov

Publication date: 24 September 2013

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10808-009-0055-5


zbMATH Keywords

Laplace invariantsfirst-order conservation lawslinearly autonomous operatorssecond-order weakly nonlinear differential equationstangent transformations


Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30)


Related Items (2)

Non-linear longitudinal oscillations of a viscoelastic rod in Kelvin's model ⋮ Description of the attenuation of invariant ultrasonic beams after formation of the shock fronts in a cubic nonlinear medium in the absence of dissipation




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