Equivalence transformations of Euler-Bernoulli equation
J. C. Ndogmo
TL;DR
This paper determines the equivalence group of the Euler-Bernoulli equation and its generalizations, revealing symmetry properties that can aid in solving or analyzing these equations.
Contribution
It provides the first comprehensive determination of the equivalence group for the Euler-Bernoulli equation and its generalizations, enhancing understanding of their symmetries.
Findings
Identified the equivalence group of the Euler-Bernoulli equation.
Derived symmetry properties from the equivalence group.
Extended symmetry analysis to a generalization of the equation.
Abstract
We give a determination of the equivalence group of Euler-Bernoulli equation and of one of its generalizations, and thus derive some symmetry properties of this equation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Algebra and Geometry