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.

Additional Information

Author(s)

 Hirica, Iulia-Elena,  Pripoae, Cristina-Liliana,  Pripoae, Gabriel-Teodor, Preda, Vasile

DOI

https://doi.org/10.37193/CJM.2022.03.07