Open Access

ARTICLE

Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations

J.R. Zabadal¹, B. Bodmann¹, V. G. Ribeiro², A. Silveira², S. Silveira²

1 UFRGS, Porto Alegre, RS, Brazil.
2 UniRitter, Porto Alegre, RS, Brazil.

Computer Modeling in Engineering & Sciences 2014, 103(4), 215-227. https://doi.org/10.3970/cmes.2014.103.215

Abstract

This work presents a new analytical method to transform exact solutions of linear diffusion equations into exact ones for nonlinear advection-diffusion models. The proposed formulation, based on Bäcklund transformations, is employed to obtain velocity fields for the unsteady two-dimensional Helmholtz equation, starting from analytical solutions of a heat conduction type model.

---

Keywords

---