RT journal article
T1 Travelling wave solutions, symmetry reductions and conserved vectors of a generalized hyper-elastic rod wave equation
A1 Simbanefayi, Innocent
A1 Gandarias Núñez, María Luz
A1 Khalique, Chaudry Masood
A2 Matemáticas
K1 Conservation laws
K1 Exact solutions
K1 First integral
K1 Group invariant
K1 Hyper-elastic rod wave equation
K1 Multiplier approach
K1 Symmetry reduction
AB 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.
PB Elsevier
SN 2666-8181
YR 2023
FD 2023-02-16
LK http://hdl.handle.net/10498/29563
UL http://hdl.handle.net/10498/29563
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026