Burgers' equation and layered media: Exact solutions and applications to soil-water flow

Philip Broadbridge, Rajesh Srivastava, Tian-Chyi J Yeh

Research output: Contribution to journalArticle

12 Scopus citations


Exact solutions are presented for Burgers' equation in a finite layer connected to an underlying semi-infinite medium of different conductivity and diffusivity. A constant-flux boundary condition is assumed at the surface. This has direct application to steady rainfall on layered field soils. At large times, a travelling wave profile develops in the deep layer and the concentration in the upper layer approaches a non-trivial steady state. Water flux and potential energy are continuous across the interface but the concentration gradient may show a marked discontinuity.

Original languageEnglish (US)
Pages (from-to)163-169
Number of pages7
JournalMathematical and Computer Modelling
Issue number11
Publication statusPublished - 1992


ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modeling and Simulation

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