Exact general solution and first integrals of a remarkable static Euler-Bernoulli beam equation

DOI10.1016/J.CNSNS.2018.09.012OpenAlexW2891850625WikidataQ129207279 ScholiaQ129207279MaRDI QIDQ2206188

Yanyan Li

Publication date: 21 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2018.09.012

zbMATH Keywords

exact solutionfirst integralsEuler-Bernoulli beam equationSchrödinger-type equationnonsolvable symmetry algebra

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Nonlinear differential equations in abstract spaces (34G20) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

On the reduction of nonlinear mechanical systems via moving frames: a bead on a rotating wire hoop and a spinning top ⋮ Parametric Solutions to a Static Fourth-Order Euler–Bernoulli Beam Equation in Terms of Lamé Functions ⋮ Reduced motion equations of an axisymmetric body spinning on a horizontal surface via Lie symmetries

Uses Software

• DLMF

Cites Work

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• Symmetries and integrability of a fourth-order Euler–Bernoulli beam equation
• First integrals and parametric solutions of third-order ODEs admitting $ {\mathfrak{sl}(2, \mathbb{R})} $

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