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.
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Saied, E.A., El-Wakil, S.A. On the Diffusion in a Lattice Gas Model: Group-Theoretic Approach. Journal of Statistical Physics 90, 301–310 (1998). https://doi.org/10.1023/A:1023216121110
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DOI: https://doi.org/10.1023/A:1023216121110