@Article{cmes.2014.103.215,
AUTHOR = {J.R.  Zabadal, B.  Bodmann, V. G.  Ribeiro, A.  Silveira, S.  Silveira},
TITLE = {Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {103},
YEAR = {2014},
NUMBER = {4},
PAGES = {215--227},
URL = {http://www.techscience.com/CMES/v103n4/27117},
ISSN = {1526-1506},
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.},
DOI = {10.3970/cmes.2014.103.215}
}