I have the following two coupled non-linear equations
eqns = {0 == \[Alpha] (I*d - k/2 - I*g*\[Alpha] (b + Conjugate[b])) &&
0 == I*w_m*b - I*g*Abs[\[Alpha]] - \[Gamma]/2*b}
Solve[eqns, {\[Alpha], b}]
Here, $\alpha$ and $b$ are my two complex variables I want to solve for. The other variables are constant, i.e. $d, k, g, \gamma$ are experimental constants.
Now, when I run this commmand, Solve gives the error message:
This system cannot be solved with the methods available to Solve.
Why is that?
_
). Changew_m
towm
. If you want it displayed as a subscript, useFormat[wm] := Subscript[w, m]
. Are the experimental constants assumed to be real? $\endgroup$