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.
Lie symmetries of the nonlinear Fokker-Planck equation based on weighted Tsallis entropy
Pripoae, Cristina-Liliana, Hirica, Iulia-Elena, Pripoae, Gabriel-Teodor and Preda, Vasile
Full PDF
carpathian_2022_38_3_597_617Additional Information
| Author(s) | Hirica, Iulia-Elena, Pripoae, Cristina-Liliana, Pripoae, Gabriel-Teodor, Preda, Vasile |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2022.03.07 |
Recently posted
-
Stability of new functional equations and partial multipliers in Banach *-algebras
-
Characterizations of amenable gyrogroups related to Tarski's Theorem
-
Two new extragradient methods for solving pseudomonotone the equilibrium problem in Hilbert spaces
-
On the error estimates for the sequence of successive approximations for cyclic \varphi–contractions in metric spaces
-
Hybrid CG-Like Algorithm for Nonlinear Equations and Image Restoration
-
New class of n-order fractional differential equations and solvability in the double sequence space m^2(\Delta_{v}^{u}, \phi,p)
-
Constructing DNA Codes using Double Cyclic Codes of Odd and Even Lengths over F2 + u F2
-
Consequences of the product rule in Stieltjes differentiability
-
On the existence and uniqueness of fixed points in Banach spaces using the Krasnoselskij iterative method
-
A quaternionic product of simple ratios