A One Step Optimal Homotopy Analysis Method for Propagation of Harmonic Waves in Nonlinear Generalized Magnetothermoelasticity with Two Relaxation Times under Influence of Rotation

Figure 12

The displacement as a function of time and the temperature without and with rotation and magnetic field (LS) at 𝑥=100,  𝑎=0.5, 𝛽₁=0.5, 𝐴=0.001, 𝑏=0.5, 𝛼=1,  𝛽₂=0.05, 𝛾=1, 𝛿=0.8, 𝜏₂=0, 𝜏₁=0.1, 𝛿=1, 𝜛=0.02 (Ω=𝜎₁=𝜎₂=0, —), and (Ω=0.1, 𝜎₁=0.2, 𝜎₂=0.1, - - -).

(a)

(b)