An explicit mapping is given from the space of general complex meromorphic functions to
a space of special time-dependent solutions of the 1 + 2-dimensional nonlinear diffusion equation with
diffusivity depending on concentration as D = 1/u. These solutions have constant-flux boundary
conditions. Some simple examples are constructed, including that of a line source enclosed by
a cylindrical barrier. This has direct application to electron diffusion in a laser-heated plasma.