Nonlinear Definition and 558 Threads

Denying the unification of general relativity and quantum mechanics seem to be the simultaneous requirements of relativism and nonlinearity for the wavefunction. Wavefunction linearity and relativity are seamlessly incorporated under the physics of Fermi. Has there yet been a successful theory...

Here's a problem I ran into in complex analysis. Given z = x + iy and w = u + iv, I need to find all w such that w² = z. It reduces to solving this system: x = u² - v² y = 2uv My professor mentioned that we should try to deal with the problem in at least two cases: y = 0, and y does not...

I am thinking of solving a nonlinear equation, namely, Gross Pitaevskii equation that applied in Bose Einstein Condensates. Can I solve the equation with Mathematica? Could someone give me some clues?

Hi, everybody. I have an ODE: y'''+2y''y-3y'^2=0 I know that it has an analytic solution, but I cannot get it (yet). Can anybody help me? (I don't need a full explanation how to solve it, just some hints or just the solution with 3 arbitrary constants). Thanks beforehand, Max.

Hi all, Is there a way to have "hotspots" in a powerpoint/openoffice presentation document? I'm making a presentation and there are several areas where people might ask questions about a specific point and I would like to start a new line of slides, and then go back to where it branched off...

How do I go about solving and understanding the phase plane for a nonlinear system of predator and prey equations?

Hello there. I have just finished a biological experiment on "effect of trypsin concentration on rate of casein hydrolysis" I have already obtained a graph, and I used a program called "Graphpad Prism" to analyse the data usin nonlinear regression (3rd degree polynomial). I have got all the...

Having some troubles getting further in this system I'm trying to solve. The notebook's at http://www.gabrielwyner.com/fluids5.nb PDF form: http://www.gabrielwyner.com/fluids5.pdf I guess the most current problem involves mathematica complaining about DSolve[h'[t] = f[h[t],h[0]]] (with...