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Higher order conservation laws and integrability of some Timoshenko beam systems

B. Al Qurashi, A. H. Kara, H. Akça


We show that some classes of the Timoshenko system of PDEs that model the vibrations of a beam are rich in symmetry and conservation laws. In fact, it admits an infinite hierarchy of conservation laws and higher order symmetries which have implications on, inter alia, the integrability of the system.


Timoshenko beam; invariance; conservation laws

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