Equivalence transformations of the Euler-Bernoulli equation

DOI10.1016/j.nonrwa.2012.01.012zbMath1257.35006arXiv1110.6029OpenAlexW2963020688MaRDI QIDQ1926190

Jean-Claude Ndogmo

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6029

zbMATH Keywords

symmetry groupequivalence group

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (3)

Dynamic Euler-Bernoulli beam equation: classification and reductions ⋮ Generation and identification of ordinary differential equations of maximal symmetry algebra ⋮ On certain properties of linear iterative equations

Cites Work

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• Euler-Bernoulli beams from a symmetry standpoint-characterization of equivalent equations
• Moving coframes. II: Regularization and theoretical foundations
• Equivalence classes, symmetries and solutions of linear third-order differential equations
• Maurer-Cartan forms and the structure of Lie pseudo-groups
• The equivalence problem for the Euler–Bernoulli beam equation via Cartan's method
• Isospectral Euler-Bernoulli beams with continuous density and rigidity functions
• Symmetries and differential equations

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