Solitonic solutions and study of nonlinear wave dynamics in a Murnaghan hyperelastic circular pipe

Abstract

This research article delves into the intricate domain of nonlinear wave dynamics within the framework of a Murnaghan hyperelastic circular pipe. Thus, the current study makes use of some powerful analytical approaches to examine the propagation of nonlinear elastic waves on a Murnaghan hyperelastic circular pipe. The work is exceptional since it allows for the incorporation of double dispersion terms and material nonlinearity in the controlling nonlinear mode. The study entails a thorough examination of the propagation and interaction of solitons within the Murnaghan hyperelastic medium, providing insights into the distinctive nonlinear wave phenomena manifested by circular pipe configurations. Theoretical insights are substantiated by numerical simulations, presenting a comprehensive understanding of the dynamic responses within these elastic structures. In the end, graphical representations of some of the derived solutions have been provided for clarification. In addition, the reported solutions in the study help researchers working in modern fields of engineering and materials science to obtain valuable insights that can inform the design, analysis, and optimization of materials and structures in contemporary applications.

Keywords

• elastic structures
• hyperelastic material
• nonlinear waves
• murnaghan rod
• propagation and interaction