I am solving the following simple looking nonlinear PDE:
(\partial f / \partial t)^2 - (\partial f / \partial r)^2 = 1
Using different tricks and ansatzs I've obtained the following analytic solutions so far:
f(r,t) = a\, t + b\, r + c, \,\,\,\, a^2 - b^2=1.
f(r,t) =...