Non-polynomial conservation law densities generated by the symmetry operators in some hydrodynamical models

DOI10.1088/0305-4470/36/31/308zbMath1042.37049arXivnlin/0303067OpenAlexW2049658395MaRDI QIDQ4451233

Maxim P. Pavlov, Ziemowit Popowicz

Publication date: 23 February 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0303067

zbMATH Keywords

symmetry operatorsconserved densitiespolytropic gas modelnonlinear elasticity equationnonequivalent Hamiltonians

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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