How to plot complex function of two variables?

How to plot complex function, in MATLAB like surface plot.

x and y are variable. Should I separately plot for positive sign and negative sign.

Answer 1

[KSSV]

x = linspace(0,1) ; 
y = linspace(0,1) ; 
[X,Y] = meshgrid(x,y) ; 
Z = 1i/2*sqrt(X./Y) ; 

surf(X,Y,abs(Z))
hold on
surf(X,Y,-abs(Z))

[priya anjali]

Do you know the type of this graph?

Like nature(soliton, parabolic, or any other)