Recent content by nbachela
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Graduate Eigenvalues of nonlinearly coupled equations
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...- nbachela
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Eigenvalues of nonlinearly coupled equations
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...- nbachela
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Eigenvalues of nonlinearly coupled equations
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...- nbachela
- Thread
- Coupled Eigenvalues
- Replies: 5
- Forum: Linear and Abstract Algebra