>    restart;

>    f:=(x,t)->1+1/(8*Pi)*(sin(2*Pi*(x+2*t))-sin(2*Pi*(x-2*t)));

f := proc (x, t) options operator, arrow; 1+1/8*1/Pi*(sin(2*Pi*(x+2*t))-sin(2*Pi*(x-2*t))) end proc

>    plot3d(f(x,t), x=-0.5..1, t=0..1, axes=boxed, lightmodel=light2);

[Maple Plot]

>    plot3d(f(x,t), x=-0.5..1, t=0..1, axes=boxed, lightmodel=light2);

[Maple Plot]

>