I have a problem with a non linar equation systems. Basically it takes long time to show me the results.
The systems is the following,
R1 = - ((1 - y) Sqrt[1 - x^2] + x Sqrt[1 - y^2]) +
y/4 (x Sqrt[1 - z^2] - z Sqrt[1 - x^2]) J == 0
R2 = - (y (Sqrt[1 - x^2] + Sqrt[1 - z^2]) - (z + x) Sqrt[1 - y^2]) +
Sqrt[1 - y^2]/4 (x*z + Sqrt[(1 - x^2) (1 - z^2)]) J == 0
R3 = - ((1 - y) Sqrt[1 - z^2] + z Sqrt[1 - y^2]) -
y/4 (x Sqrt[1 - y^2] - y Sqrt[1 - x^2]) J == 0
I know that it is very hard to get the solutions in function of the parameter J, and also that there is trivial solutions such x=y=z=1 or
Friends using maple got complex solutions considering some values of J but i would like to obtain only real solutions.
Many Thanks in advance
Attachment: non linear sys eqs.nb, URL: ,