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
ρ2ut2=(λ+2μ+μeH02)2ux2+(λ+μ+12P+μeH02)2vxy+(μ12P)2uy2γTx
(1)
ρ2vt2=(λ+2μ+μeH02)2vy2+(λ+μ+12P+μeH02)2uxy+(μ12P)2vx2γTy
(2)
For simplicity, we will use the following nondimensional variables:
(x,y,u,v)=c0η(x,y,u,v),(t,τ0)=c02η(t,τ0),(θ,ϕ)=(T,ϕ)T0T0σij=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
2ut2=(λ+2μ+μeH02)ρC022ux2+(λ+μ+P2+μeH02)ρC022vxy+2μP2ρC022uy2γT0ρC02θx
(4)
2vt2=(λ+2μ+μeH02)ρC022vy2+(λ+μ+P2+μeH02)ρC022uxy+2μP2ρC022vx2γT0ρC02θy
(5)
Assuming the scalar potential functions Φ(x,y,t) and Ψ(x,y,t) defined by the relations in the nondimensional form
u=Φx+Ψy,v=ΦyΨx
(6)
Substituting from the above equation (6) into equation (4), we obtain
2t2(Φx+Ψy)=(λ+2μ+μeH02)ρC022x2(Φx+Ψy)+(λ+μ+P2+μeH02)ρC022xy(ΦyΨx)+2μP2ρC022y2(Φx+Ψy)γT0ρC02θx
(7)
Separating the components of two sides concern x-axis and y-axis, anyone can get
[21a22t2]Φa*θ=0
(8)
[21a32t2]ψ=0
(9)
where
a0=γT0ρC02,a1=ρC02μ,RH2=μeH02ρC02,a2=1+RH2,a*=a0a2,a3=2μP2ρC02,2=2x2+2y2

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