Exact solutions describing an interaction of pulses with compact support in a nonlinear diffusive system

On the diffusion of biological populations

Morton E. Gurtin, R. C. MacCamy · Mathematical Biosciences · 1977 · 530 citations

Life Sciences, Biology, Evolutionary Biology +12

DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT

R. E. Pattle · The Quarterly Journal of Mechanics and Applied Mathematics · 1959 · 395 citations

Engineering, Chemical Engineering, Chemical Kinetics +10

A symmetry approach to exactly solvable evolution equations

A. S. Fokas · Journal of Mathematical Physics · 1980 · 255 citations

Natural Sciences, Mathematics, Physics +13

On the exactly solvable equation$S_t = [ ( \beta S + \gamma )^{ - 2} S_x ]_x + \alpha ( \beta S + \gamma )^{ - 2} S_x $ Occurring in Two-Phase Flow in Porous Media

A. S. Fokas, Y. C. Yortsos · SIAM Journal on Applied Mathematics · 1982 · 163 citations

Engineering, Petroleum Engineering, Physics +17

Some exact solutions to a non-linear diffusion problem in population genetics and combustion

William I. Newman · Journal of Theoretical Biology · 1980 · 151 citations

Life Sciences, Biology, Genetics +16