DOAJ Open Access 2023

Travelling wave solutions, symmetry reductions and conserved vectors of a generalized hyper-elastic rod wave equation

Innocent Simbanefayi María Luz Gandarias Chaudry Masood Khalique

Abstrak

This work presents a generalized hyper-elastic rod wave (gHRW) equation from the Lie symmetry method’s standpoint. The equation illustrates dispersive waves generating in hyper-elastic rods. Using multiplier approach we find conserved vectors of the underlying equation. We subsequently obtain first integrals of the conserved vectors under the time–space group invariant u(t,x)=H(x−νt). Finally, by analysing various attainable instances of the arbitrary coefficient function g(u), we perform symmetry reductions of gHRW equation to lower order ordinary differential equations and in some instances obtain analytic solutions for special values of arbitrary constants.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (3)

Innocent Simbanefayi

María Luz Gandarias

Chaudry Masood Khalique

Format Sitasi

APA MLA BibTeX

Simbanefayi, I., Gandarias, M.L., Khalique, C.M. (2023). Travelling wave solutions, symmetry reductions and conserved vectors of a generalized hyper-elastic rod wave equation. https://doi.org/10.1016/j.padiff.2023.100501

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2023.100501
Akses: Open Access ✓