Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form

Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form

In the present study a particular case of Gross-Pitaevskii or nonlinear Schrödinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation. The obtained system of differential equations is highly nonlinear. Regarding the solutions, a larger coeffic...

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Bibliographic Details
Main Authors: Imre F. Barna, Mihály A. Pocsai, L. Mátyás
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/7087295
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