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Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations

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

UFRGS, Porto Alegre, RS, Brazil.
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.

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APA Style
Zabadal, J., Bodmann, B., Ribeiro, V.G., Silveira, A., Silveira, S. (2014). Bäcklund transformations: a link between diffusion models and hydrodynamic equations. Computer Modeling in Engineering & Sciences, 103(4), 215-227. https://doi.org/10.3970/cmes.2014.103.215
Vancouver Style
Zabadal J, Bodmann B, Ribeiro VG, Silveira A, Silveira S. Bäcklund transformations: a link between diffusion models and hydrodynamic equations. Comput Model Eng Sci. 2014;103(4):215-227 https://doi.org/10.3970/cmes.2014.103.215
IEEE Style
J. Zabadal, B. Bodmann, V.G. Ribeiro, A. Silveira, and S. Silveira "Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations," Comput. Model. Eng. Sci., vol. 103, no. 4, pp. 215-227. 2014. https://doi.org/10.3970/cmes.2014.103.215



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