Symmetries and integrability of a fourth-order Euler–Bernoulli beam equation

DOI10.1063/1.3377045zbMath1310.74029OpenAlexW2012126777MaRDI QIDQ5249553

Ashfaque H. Bokhari, F. M. Mahomed, Fiazud Din Zaman

Publication date: 6 May 2015

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

Full work available at URL: https://doi.org/10.1063/1.3377045

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Symmetries, invariants of ordinary differential equations (34C14) Classical linear elasticity (74B05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (12)

A note on four-dimensional symmetry algebras and fourth-order ordinary differential equations ⋮ Dynamic Euler-Bernoulli beam equation: classification and reductions ⋮ Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis ⋮ Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs ⋮ An Invariance and Closed Form Analysis of the Nonlinear Biharmonic Beam Equation ⋮ Invariance Analysis and Closed-form Solutions for The Beam Equation in Timoshenko Model ⋮ On Lagrangians and Hamiltonians of some fourth-order nonlinear Kudryashov ODEs ⋮ Parametric Solutions to a Static Fourth-Order Euler–Bernoulli Beam Equation in Terms of Lamé Functions ⋮ Exact general solution and first integrals of a remarkable static Euler-Bernoulli beam equation ⋮ On the Lane-Emden system in dimension one ⋮ A note on the integrability of a remarkable static Euler-Bernoulli beam equation ⋮ Invariant boundary value problems for a fourth-order dynamic Euler-Bernoulli beam equation

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