Travelling Waves for the Gross-Pitaevskii Equation II

被引：54
作者：
Bethuel, Fabrice [1 ]
Gravejat, Philippe [2 ]
Saut, Jean-Claude [3 ]
机构：
[1] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France
[2] Univ Paris 09, Ctr Rech Math Decis, F-75775 Paris, France
[3] Univ Paris 11, Math Lab, F-91405 Orsay, France
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2009年 / 285卷 / 02期
关键词：
KADOMTSEV-PETVIASHVILI EQUATIONS; SOLITARY WAVES; BOSE CONDENSATE; GINZBURG-LANDAU; DECAY; ANALYTICITY; ASYMPTOTICS; MOTIONS;
D O I：
10.1007/s00220-008-0614-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three. Our arguments, based on minimization under constraints, yield a full branch of solutions, and extend earlier results (see [3,4,8]) where only a part of the branch was built. In dimension three, we also show that there are no travelling wave solutions of small energy.
引用
收藏
页码：567 / 651
页数：85
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