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arXiv · 1505.01334

From the hypergeometric differential equation to a non linear Schrödinger one

A. Plastino·M. C. Rocca
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Abstract

We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation is a non-linear Schrödinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre-Rego Monteiro-Tsallis one.

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A. Plastino, M. C. Rocca. 2015-05-10. From the hypergeometric differential equation to a non linear Schrödinger one. https://doi.org/10.1016/j.physleta.2015.08.015

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