The Integrability and Modification to an Auxiliary Function Method for Solving the Strain Wave Equation of a Flexible Rod with a Finite Deformation

Our study focuses on the governing equation of a finitely deformed flexible rod with strain waves. By utilizing the well-known Ablowita–Ramani–Segur (ARS) algorithm, we prove that the equation is non-integrable in the Painlevé sense. Based on the bifurcation theory for planar dynamical systems, we m...

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Bibliographic Details
Main Authors: Adel Elmandouh, Aqilah Aljuaidan, Mamdouh Elbrolosy
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/3/383