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On the Diffusion in a Lattice Gas Model: Group-Theoretic Approach |
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| Authors: | Effat A. Saied S. A. El-Wakil |
| Affiliation: | (1) Department of Mathematics, Faculty of Science, Benha University, Benha, 31527, Egypt;(2) Department of Physics, Faculty of Science, Mansoura University, Mansoura, Egypt |
| Abstract: | Motivated by some recent results concerning the model of a noninteracting one-dimensional lattice gas with an order preservation of particles where multiple occupancy of the sites is not excluded, we give new symmetries and new reductions of the corresponding continuum nonlinear partial differential equation. Closed-form analytic solutions are found. |
| Keywords: | Lattice gas models diffusion processes group analysis of differential equations |
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