STABILITY IN THE ENERGY SPACE FOR CHAINS OF SOLITONS OF THE ONE-DIMENSIONAL GROSS-PITAEVSKII EQUATION

被引：14
|
作者：
Bethuel, Fabrice [1 ]
Gravejat, Philippe [2 ]
Smets, Didier [1 ]
机构：
[1] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France
[2] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France
来源：
ANNALES DE L INSTITUT FOURIER | 2014年 / 64卷 / 01期
关键词：
Gross-Pitaevskii equation; sums of solitons; stability; NONLINEAR SCHRODINGER-EQUATION; TRAVELING-WAVES; SOLITARY WAVES; GKDV EQUATIONS; CAUCHY-PROBLEM; SUM;
D O I：
10.5802/aif.2838
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the stability in the energy space for sums of solitons of the one-dimensional Gross-Pitaevskii equation when their speeds are mutually distinct and distinct from zero, and when the solitons are initially well-separated and spatially ordered according to their speeds.
引用
收藏
页码：19 / 70
页数：52
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