In fact I would like to compute the eigensolutions of this system. I am not sure I can even talk about eigenvalue for a non linear system.
To tell the whole story, I need to compute mode of a particular multimode laser, so this eigensolutions have a physical meaning (they corresponds to...
Hi,
Thanks to your last reply I just realize I made a mistake. The Ω are not constant values. In fact the system correspond to coupled differential equations:
dE_1/dt+ω_1*E_1 + K_{11} |E_1|^2 E_1 + K_{12} |E_2|^2 E_1 = 0
dE_2/dt+ω_2*E_2 + K_{21} |E_1|^2 E_2 + K_{22} |E_2|^2 E_2 = 0...
Hi everyone,
I am currently dealing with a nonlinear system of coupled equations. In fact I had performed a perturbation approach for this system which is highly nonlinear. Thanks to first step of the perturbative approach I could reach eigenvalues in the "linear case". Right now I want to...