Solutions of the Gross-Pitaevskii Equation in Prolate Spheroidal Coordinates

被引：0
|
作者：
Borisov, A. V. [1 ]
Shapovalov, A. V. [1 ,2 ]
机构：
[1] Natl Res Tomsk State Univ, Tomsk, Russia
[2] Natl Res Tomsk Polytech Univ, Tomsk, Russia
来源：
RUSSIAN PHYSICS JOURNAL | 2015年 / 57卷 / 09期
关键词：
Gross-Pitaevskii equation; exact solutions; prolate spheroidal coordinates; localized states; SOLITONS;
D O I：
10.1007/s11182-015-0364-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
With the help of the method of similarity transformations, an approach is considered that makes it possible to find particular solutions of the Gross-Pitaevskii equation with a nonstationary coefficient of nonlinearity in prolate spheroidal coordinates. Two exact solutions are found in explicit form, having soliton properties, along with the corresponding potentials. The form of the solutions is illustrated by examples.
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页码：1201 / 1209
页数：9
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