New solution for the nonlinear diffusion-convection equation

Arieh Pistiner*, Michael Shapiro, Hillel Rubin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The Cauchy problem for a one-dimensional nonlinear porous-media diffusion-convection differential equation is considered. A self-similar solution is derived that, after the Riccati transformation, is described in terms of the Airy functions. The asymptotic behavior of the solution for a small amount of species introduced into the porous media is investigated.

Original languageEnglish
Pages (from-to)1616-1621
Number of pages6
JournalSIAM Journal on Applied Mathematics
Issue number6
StatePublished - 1991
Externally publishedYes


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