How to solve system of 3 non-linear equations analytically and numerically?

Questions
, , ,
1

wr1.png
wr1.png1588×415 36.4 KB

I want to solve the system of 3 non-linear equations using this command in Mathematica 9.0

Open in Wolfram Cloud ↗

where u_1,u_2,u_3 are the variables and the coefficients can be real or complex. Is it a right command for this type of complicated equations? Can it be solved analytically?
Please can you suggest me how to solve these type of equations either numerically or analytically.

Wolfram Community.nb (5.84 KB)

2

Only numerically.

See attached file.

Wolfram Community ver2.nb (30.8 KB)

3

Thanks

4

There seems to be something amiss with the attached notebook. I get a syntax error when I try to execute the cell.

In any case, Solve appears to be run correctly. But the complexity (due to symbolic parameters) is such that it perhaps overwhelms the system.