19 citations · 65 across the 15 of their papers we have counts for
Showing quant-phShow all
2 papers · 1 filter
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…
quant-ph2017
Analytic solutions of the Madelung equation
Imre F. Barna, Mihály A. Pocsai, László Mátyás
We present analytic self-similar solutions for the one, two and three dimensional Madelung hydrodynamical equation for a free particle. There is a direct connection between the zer…