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

页码：19 / 70

页数：52

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