Neuberger, Rice, and Swift paper

Numerical Solutions of a Vector Ginzburg-Landau Equation with a Triple Well Potential

by John M. Neuberger, Dennis R. Rice Jr., and James W. Swift

Solutions to the ODE -eps^2 u'' + W'(u) = 0, W(u) = 1/4 - u^2/2 + u^4/4, u'(0) = u'(1) = 0, using 20 Fourier Modes:
animation and still.

Figure 1. (The Triple Well Potential)
The Upside-Down Triple Well Potential.
Figure 2. (Bifurcation Diagram)
Figure 3. (Solutions)
Figure 4. (Conjectured solutions at J = 0)
Figure 5. (Adding more Modes)
Figure 6. (Error)

Preprint of the paper.