Tsallis' maximum entropy ansatz leading to exact analytical time dependent wave packet solutions of a nonlinear Schrödinger equation

S Curilef, AR Plastino, A Plastino - Physica A: Statistical Mechanics and its …, 2013 - Elsevier
Tsallis maximum entropy distributions provide useful tools for the study of a wide range of
scenarios in mathematics, physics, and other fields. Here we apply a Tsallis maximum …

Pilot wave approach to the NRT nonlinear Schrödinger equation

F Pennini, AR Plastino, A Plastino - Physica A: Statistical Mechanics and its …, 2014 - Elsevier
We investigate the main features of a pilot wave representation of the nonlinear Schrödinger
equation recently advanced by Nobre, Rego-Monteiro, and Tsallis (NRT) on the basis of …

Quasi-stationary states of the NRT nonlinear Schrödinger equation

IV Toranzo, AR Plastino, JS Dehesa… - Physica A: Statistical …, 2013 - Elsevier
With regards to the nonlinear Schrödinger equation recently advanced by Nobre, Rego-
Monteiro, and Tsallis (NRT), based on Tsallis q-thermo-statistical formalism, we investigate …

q-deformed Gamma function, q-deformed probability distributions and q-deformed statistical physics based on Tsallis's q-exponential function

S Kim, WS Chung, H Hassanabadi - The European Physical Journal Plus, 2019 - Springer
In this paper we consider a new q-number from the expansion of the q-exponential function
appearing in Tsallis's non-extensive entropy theory. Using this q-number we define the q …

Exact solutions for a diffusion equation with a nonlinear external force

RS Zola, MK Lenzi, LR Evangelista, EK Lenzi… - Physics Letters A, 2008 - Elsevier
This work is devoted to investigate the solutions of the one-dimensional diffusion equation
by taking the nonlinear external force F (x, t; ρ)=− k (t) x+ K/x+ κx| x| α− 1 [ρ (x, t)] η into …

[PDF][PDF] Fractional diffusion equation and external forces: solutions in a confined region

EK Lenzi, R Rossato, MK Lenzi… - … für Naturforschung-A, 2010 - znaturforsch.com
We investigate the N-dimensional fractional diffusion equation with radial symmetry by
taking time dependent boundary conditions and external forces into account in a confined …

The q-gamma and (q, q)-polygamma functions of Tsallis statistics

RK Niven, H Suyari - Physica A: Statistical Mechanics and its Applications, 2009 - Elsevier
An axiomatic definition is given for the q-gamma function Γq (x), q∈ R, q> 0, x∈ R of Tsallis
(non-extensive) statistical physics, the continuous analogue of the q-factorial of Suyari [H …

Some results for an-dimensional nonlinear diffusion equation with radial symmetry

EK Lenzi, MK Lenzi, TM Gimenez… - Journal of Engineering …, 2010 - Springer
The solutions of a nonlinear diffusion equation by considering the radially symmetric N-
dimensional case are investigated. This equation has the nonlinearity present in the …

[PDF][PDF] Derivation and Solution of Space-Time Fractional Reaction-Convection-Diffusion Equation in Comb-Like Model

IM Abdelsabour, M Sallah, MA Zahran, A Elgarayhi - academia.edu
The generalized equation of fractional reaction-diffusion exposed to an external force
expressed as a velocity term was proposed, to explain the transport mechanism in a …

[PDF][PDF] Dinâmica Estocástica e Cosmologia: alguns resultados analíticos

JM Silva - 2008 - inspirehep.net
Nesta tese investigamos alguns problemas envolvendo duas áreas complementares, a
saber: dinâmica estocástica e cosmologia. Na primeira linha de desenvolvimento …