TY  - EJOU
AU  - Zabadal, J.R.  
AU  - Bodmann, B.  
AU  - Ribeiro, V. G.  
AU  - Silveira, A.  
AU  - Silveira, S.  

TI  - Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2014
VL  - 103
IS  - 4
SN  - 1526-1506

AB  - 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.
KW  - exact solutions
KW  -  nonlinear partial differential equations
KW  -  Navier- Stokes equation
KW  -  Helmholtz equation
KW  -  Bäcklund transformation
KW  -  linearization without approximations
KW  -  diffusion model in pressure field
KW  -  vector field plots
KW  -  symbolical packages
KW  -  low time processing

DO  - 10.3970/cmes.2014.103.215