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20102023
most citedThe radius of convexity of normalized Bessel functions of the first kind

73 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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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…