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

Autor: Imre F. Barna, Mihály A. Pocsai, L. Mátyás
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2018/7087295
Popis: 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.
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