Si thanks, Please find
u[x, y, z] := y;
v[x, y, z] := (-d*
y) - (UMAXJ*(tanh[k_ 1*sin[x] + k_ 2*y + k_ 3*z])) + (d_ 2*
z) - (sin[x]);
w[x, y, z] := (d*y) + (UMAXJ*(tanh[k_ 1*sin[x] + k_ 2*y + k_ 3*z]) -
d_ 2*z) + (mu1*((UMAXJ*tanh[k_ 1*sin[x] + k_ 2*y + k_ 3*z]) -
d_ 2*z)) + (sin[x]);
sols = NSolve[{u[x, y, z] == 0, v[x, y, z] == 0, w[x, y, z] == 0}, {u,
v, w}, Reals];