2 papers
cond-mat.stat-mech2023
Analytic solutions for irregular diffusion equations with concentration dependent diffusion coefficients
I. F. Barna, L. Matyas
We investigate diffusion equations which have concentration dependent diffusion coefficients with physically two relevant Ansätze, the self-similar and the traveling wave Ansatz. W…
quant-ph2018
Self-similarity analysis of the non-linear Schrödinger equation in the Madelung form
Imre F. Barna, Mihály A. Pocsai, L. Mátyás
In the present study a particular case of Gross-Pitaevskii or non-linear Schrödinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung tra…