Invariant analysis and equivalence transformations for the non-linear wave equation in elasticity
Year: 2025
Type: article
Abstract: The phenomenon of elastic wave propagation within an inelastic material results in nonlinear wave equations. Our study specifically examines a unidirectional nonlinear elastic wave, incorporating considerations of a sixth-order Murnaghan potential. The problem of elasticity was analyzed using Lie symmetry and equivalence transformations. An equivalence group was determined for the studied wave equations. We constructed an optimal system consisting of non-similar subalgebras of Lie algebra and utilized it to perform symmetry reductions. Exploring the nonlinear elastic wave problem with a damping term involves utilizing a multiplier technique to address the conservation laws associated with these equations.
Author: Akhtar Hussain
Institution: University of Lahore
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,470
OpenAlex ID: W4407676098