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dc.contributor.authorFatima, Aeeman
dc.contributor.authorMahomed, Fazal M.
dc.contributor.authorKhalique, Chaudry Masood
dc.identifier.citationFatima, A. et al. 2016. Noether symmetries and exact solutions of an Euler-Bernoulli beam model. International Journal of Modern Physics B, 30(28&29):1-9. []
dc.identifier.issn1793-6578 (Online)
dc.description.abstractIn this paper, a Noether symmetry analysis is carried out for an Euler-Bernoulli beam equation via the standard Lagrangian of its reduced scalar second-order equation which arises from the standard Lagrangian of the fourth-order beam equation via its Noether integrals. The Noether symmetries corresponding to the reduced equation is shown to be the inherited Noether symmetries of the standard Lagrangian of the beam equation. The corresponding Noether integrals of the reduced Euler-Lagrange equations are deduced which remarkably allows for three families of new exact solutions of the static beam equation. These are shown to contain all the previous solutions obtained from the standard Lie analysis and more.
dc.publisherWorld Scientific Publishing
dc.subjectEuler-Bernoulli beam equation
dc.subjectNoether symmetries
dc.subjectNoether integrals
dc.titleNoether symmetries and exact solutions of an Euler-Bernoulli beam model
dc.contributor.researchID29144485 - Fatima, Aeeman
dc.contributor.researchID20559860 - Khalique, Chaudry Masood

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