[PDEs involving] different powers

The equations

D[u[t,x],t,t]==D[u[t,x],x,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.

[PDEs involving] different powers

The equations

D[u[t,x],t,t]==D[u[t,x],x,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.

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