Analysis of the von Kármán equations by group methods

DOI10.1016/0020-7462(85)90030-7zbMath0573.73060OpenAlexW1966622961MaRDI QIDQ1062809

Karen A. Ames, William F. Ames

Publication date: 1985

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(85)90030-7

zbMATH Keywords

subgroupsrotation groupvon Kármán equationsdilatation groupspiral groupexplicit invariant solutionsfinitely generated Lie group with ten parametersfull symmetry groupinfinite parameter Lie grouplarge deflection of platesscrew groupsteady equationstime-dependent systemtime-independenttwo coupled nonlinear fourth order partial differential equations

Mathematics Subject Classification ID

Plates (74K20) Applications of Lie groups to the sciences; explicit representations (22E70) Partial differential equations of mathematical physics and other areas of application (35Q99)

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