We determine the nonlinear Fokker-Planck equation in one dimension, based on a weighted Tsallis entropy and we derive its associated Lie symmetries. The corresponding Lyapunov functions and Bregman divergences are also found, together with a formula linking the drift function, the diffusion function and a diffusion constant. We solve the MaxEnt problem associated to the weighted Tsallis entropy.
| Author(s) | Hirica, Iulia-Elena, Pripoae, Cristina-Liliana, Pripoae, Gabriel-Teodor, Preda, Vasile |
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| DOI | https://doi.org/10.37193/CJM.2022.03.07 |
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