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

被引：0
作者：
Barna, Imre F. [1 ,2 ]
Pocsai, Mihaly A. [1 ,3 ]
Matyas, L. [4 ]
机构：
[1] Hungarian Acad Sci, Wigner Res Ctr Phys, Konkoly Thege Miklos Ut 29-33, H-1121 Szeged, Hungary
[2] ELI HU Nonprofit Kft, Dugon Ter 13, H-6720 Szeged, Hungary
[3] Univ Pecs, Inst Phys, Ifjusag Utja 6, H-7624 Pecs, Hungary
[4] Sapientia Univ, Dept Bioengn, Libertatii Sq 1, Miercurea Ciuc 530104, Romania
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2018年 / 2018卷
关键词：
BOSE-EINSTEIN CONDENSATION; GROSS-PITAEVSKII;
D O I：
10.1155/2018/7087295
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present study a particular case of Gross-Pitaevskii or nonlinear Schrodinger 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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页数：5
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