Advanced Search

Question: Complex differential equations

Question:Complex differential equations

dhalpern 16 Maple
complex ode differential-equation dsolve numeric
October 03 2006
0
Hi, I am trying to solve a first order differential equation numerically using dsolve. The equation is of the form dx/dt = k1 x + k2 |x|^2 x where x(t) is a complex valued function and k1 and k2 are complex constants. I get the following warning/error from maple10 Warning, abs is not differentiable at non-real arguments For this equation dsolve only gives me the solution for relatively short times (t ~1 or 2) and I know there is a solution valid at large times >>1. Obviously I could cast this equation into a system of 2: one for the real part and the other for the imaginary part. But can I get away with solving just the one equation for x(t)? If not I would appreciate if someone could explain to me why. Thanks. David Halpern
Please Wait...