Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form
Joint Authors
Barna, Imre F.
Pocsai, Mihály A.
Mátyás, L.
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-01
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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 coefficient of the nonlinear term yields stronger deviation of the solution from the linear case.
American Psychological Association (APA)
Barna, Imre F.& Pocsai, Mihály A.& Mátyás, L.. 2018. Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1119242
Modern Language Association (MLA)
Barna, Imre F.…[et al.]. Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form. Advances in Mathematical Physics No. 2018 (2018), pp.1-5.
https://search.emarefa.net/detail/BIM-1119242
American Medical Association (AMA)
Barna, Imre F.& Pocsai, Mihály A.& Mátyás, L.. Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1119242
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119242
