Chapter 4: Systems Based on Numbers

Section 9: Partial Differential Equations

[PDEs involving] different powers

The equations

ttu[t, x] xxu[t, x] + (1 - u[t,x]n)(1 + a u[t, x])

with n = 4, 6, 8, etc. appear to show similar behavior to the n = 2 equation in the main text.

Image Source Notebooks:

From Stephen Wolfram: A New Kind of Science [citation]