Lie Symmetries, Optimal System and Invariant Reductions to a Nonlinear Timoshenko System
AbstractLie symmetries and their Lie group transformations for a class of Timoshenko systems are presented. The class considered is the class of nonlinear Timoshenko systems of partial differential equations (PDEs). An optimal system of one-dimensional sub-algebras of the corresponding Lie algebra is derived. All possible invariant variables of the optimal system are obtained. The corresponding reduced systems of ordinary differential equations (ODEs) are also provided. All possible non-similar invariant conditions prescribed on invariant surfaces under symmetry transformations are given. As an application, explicit solutions of the system are given where the beam is hinged at one end and free at the other end. View Full-Text
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Al-Omari, S.; Zaman, F.; Azad, H. Lie Symmetries, Optimal System and Invariant Reductions to a Nonlinear Timoshenko System. Mathematics 2017, 5, 34.
Al-Omari S, Zaman F, Azad H. Lie Symmetries, Optimal System and Invariant Reductions to a Nonlinear Timoshenko System. Mathematics. 2017; 5(2):34.Chicago/Turabian Style
Al-Omari, Shadi; Zaman, Fiazuddin; Azad, Hassan. 2017. "Lie Symmetries, Optimal System and Invariant Reductions to a Nonlinear Timoshenko System." Mathematics 5, no. 2: 34.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.