Stationary solutions to a nonlinear Schrodinger equation with potential in one dimension

被引：5

作者：

Maris, M ^{[1
]}

机构：

[1] Univ Paris 11, Dept Math, UMR 8628, F-91405 Orsay, France

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2003年 / 133卷

关键词：

D O I：

10.1017/S0308210500002456

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the one-dimensional Gross-Pitaevskii-Schrodinger equation with a potential U moving at velocity v. For a fixed v less than the sound velocity, it is proved that there exist two time-independent solutions if the potential is not too big.

引用

页码：409 / 437

页数：29

共 50 条

[21] RATE OF BLOWUP FOR SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION AT CRITICAL DIMENSION
LANDMAN, MJ
PAPANICOLAOU, GC
SULEM, C
SULEM, PL
PHYSICAL REVIEW A, 1988, 38 (08): : 3837 - 3843
[22] Stationary solutions of the nonlinear Schrodinger equation for neutral atoms in a harmonic trap
Yan, KZ
Tan, WH
ACTA PHYSICA SINICA, 1999, 48 (07) : 1185 - 1191
[23] A nonlinear Schrodinger equation with two symmetric point interactions in one dimension
Kovarik, Hynek
Sacchetti, Andrea
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (15)
[24] Gevrey regularizing effect for a nonlinear Schrodinger equation in one space dimension
Taniguchi, K
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1998, 50 (04) : 1015 - 1026
[25] Mass concentration phenomenon for the quintic nonlinear Schrodinger equation in one dimension
Tzirakis, N
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2006, 37 (06) : 1923 - 1946
[26] Travelling waves for the nonlinear Schrodinger equation with general nonlinearity in dimension one
Chiron, D.
NONLINEARITY, 2012, 25 (03) : 813 - 850
[27] Stationary localized modes of the quintic nonlinear Schrodinger equation with a periodic potential
Alfimov, G. L.
Konotop, V. V.
Pacciani, P.
PHYSICAL REVIEW A, 2007, 75 (02):
[28] ASYMPTOTIC SOLUTIONS OF THE STATIONARY SCHRODINGER-EQUATION ASSOCIATED TO A CENTRAL POTENTIAL
CANDELPERGHER, B
NOSMAS, JC
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1980, 291 (02): : 175 - 178
[29] STATIONARY SOLUTIONS OF SCHRODINGER EQUATION WITH A SELF-CONSISTENT POTENTIAL SATISFYING BOUSSINESQS EQUATION
MAKHANKOV, VG
PHYSICS LETTERS A, 1974, A 50 (01) : 42 - 44
[30] Solutions of a nonlinear Schrodinger equation
deFigueiredo, DG
Ding, YH
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2002, 8 (03) : 563 - 584

← 1 2 3 4 5 →