The Gross-Pitaevskii equation: Backlund transformations and admitted solutions

被引：1
|
作者：
Carillo, Sandra [1 ,2 ]
Zullo, Federico [3 ]
机构：
[1] Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Rome, Italy
[2] INFN, Sez Roma1 Gr 4, Math Methods NonLinear Phys, Rome, Italy
[3] Univ Brescia, DICATAM, Brescia, Italy
来源：
RICERCHE DI MATEMATICA | 2019年 / 68卷 / 02期
关键词：
Nonlinear ordinary differential equations; Gross-Pitaevskii equation; Backlund transformations; Schwarzian derivative; 35A24; 49K15; 37K35; 35Q55; ERMAKOV;
D O I：
10.1007/s11587-018-0422-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Backlund transformations are applied to study the Gross-Pitaevskii equation. Supported by previous results, a class of Backlund transformations admitted by this equation are constructed. Schwarzian derivative as well as its invariance properties turn out to represent a key tool in the present investigation. Examples and explicit solutions of the Gross-Pitaevskii equation are obtained.
引用
收藏
页码：503 / 512
页数：10
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