The Galilean relativistic principle and nonlinear partial differential equations

DOI10.1088/0305-4470/18/18/012zbMath0613.35060OpenAlexW2009232643MaRDI QIDQ4720120

W. I. Fushchich, Roman M. Cherniha

Publication date: 1985

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

Full work available at URL: https://semanticscholar.org/paper/cea6ad55bb07dd78165b5d4165d7978753303781

zbMATH Keywords

symmetryrotationsevolution equationsinvariance groupquasilinearinfinitesimal transformationsclassification of differential equationsmaximal invariance algebragalilean transformations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Applications of Lie groups to the sciences; explicit representations (22E70) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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