In this erratum, some misprints in the main published paper [1] have been corrected as follows:

Substituting from Eqs. (8) to (11) in published paper [1], the equations of motion (13) and (14), modified to
$ρ∂2u∂t2=(λ+2μ+μe H02) ∂2u∂ x2+( λ+μ+12P+μe H02)∂2v∂x ∂y+(μ−12P)∂2u∂ y2−γ∂ T∂ x$
(1)
$ρ∂2v∂t2=(λ+2μ+μe H02) ∂2v∂ y2+( λ+μ+12P+μe H02)∂2u∂x ∂y+(μ−12P)∂2v∂ x2−γ∂ T∂ y$
(2)
For simplicity, we will use the following nondimensional variables:
$(x′,y′, u′,v′)=c0η(x,y, u,v), (t′, τ′0)=c02η(t, τ0), (θ′, ϕ′)=(T,ϕ)−T0T0σ′ij=σij2μ+λ, h′=h2μ+λ, P′=P2μ+λ, τ′=τ2μ+λ$
(3)

where $η=ρCE/K$, $C22=μ/ρ$ and $c02=2μ+λ/ρ$.

The equations of motion (13) and (14) in the main published paper [1] take the form
$∂2u∂t2=(λ+2μ+μe H02)ρ C02 ∂2u∂ x2+( λ+μ+P2+μe H02)ρ C02∂2v∂x ∂y+2μ−P2ρ C02∂2u∂ y2−γT0ρ C02 ∂θ∂x$
(4)
$∂2v∂t2=(λ+2μ+μe H02)ρ C02 ∂2v∂ y2+( λ+μ+P2+μe H02)ρ C02∂2u∂x ∂y+2μ−P2ρ C02∂2v∂ x2−γT0ρ C02 ∂θ∂y$
(5)
Assuming the scalar potential functions $Φ(x, y, t)$ and $Ψ(x, y, t)$ defined by the relations in the nondimensional form
$u=∂Φ∂x+∂ Ψ∂ y, v=∂Φ∂y−∂ Ψ∂ x$
(6)
Substituting from the above equation (6) into equation (4), we obtain
$∂2∂t2(∂Φ∂x+∂ Ψ∂ y)=(λ+2μ+μe H02)ρ C02 ∂2∂ x2(∂Φ∂x+∂ Ψ∂ y)+( λ+μ+P2+μe H02)ρ C02∂2∂x ∂y(∂Φ∂y−∂ Ψ∂ x)+2μ−P2ρ C02∂2∂ y2(∂Φ∂x+∂ Ψ∂ y)−γT0ρ C02 ∂θ∂x$
(7)
Separating the components of two sides concern x-axis and y-axis, anyone can get
$[ ∇2−1a2 ∂2∂t2]Φ−a* θ=0$
(8)
$[∇2−1a3∂2∂t2]ψ=0$
(9)
where
$a0=γT0ρC02, a1= ρC02μ, RH2=μe H02ρ C02, a2=1+RH2 , a*=a0a2, a3=2μ−P2ρ C02, ∇2=∂2∂x2+∂2∂y2$

where, $RH2$ is the Alfven speed.

Finally, all next equations in Ref. [1] have not any misprints, and by making the numerical results, we can see that the final results are correct, because satisfying the nature of wave propagation and the boundary conditions for the phenomenon.

Acknowledgment

The author introduces his thanks to Dr. A. Pantokratoras for pointing out the typos.

Reference

1.
Abo-Dahab
,
S. M.
,
2018
, “
Reflection of Generalized Magneto-Thermoelastic Waves With Two Temperatures Under Influence of Thermal Shock and Initial Stress
,”
ASME J. Heat Transfer
,
140
(
10
), p.
102005
.10.1115/1.4040258