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

[1] Instability of stationary solutions for double power nonlinear Schrodinger equations in one dimension
Fukaya, Noriyoshi
Hayashi, Masayuki
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2025, 6 (01):
[2] Instabilities of one-dimensional stationary solutions of the cubic nonlinear Schrodinger equation
Thelwell, RJ
Carter, JD
Deconinck, B
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (01): : 73 - 84
[3] Expected and unexpected solutions to the stationary one-dimensional nonlinear Schrodinger equation
Carr, LD
Clark, CW
Reinhardt, WP
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2001, 15 (10-11): : 1663 - 1667
[4] The existence and non-existence of solutions for the nonlinear Schrodinger equation in one dimension
Sato, Yohei
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 43 : 477 - 494
[5] SMOOTHNESS OF SOLUTIONS (SEPARABILITY) OF THE NONLINEAR STATIONARY SCHRODINGER EQUATION
Birgebayev, A.
Muratbekov, M.
JOURNAL OF MATHEMATICS MECHANICS AND COMPUTER SCIENCE, 2022, 115 (03): : 25 - 35
[6] Stationary solutions for nonlinear dispersive Schrodinger's equation
Biswas, Anjan
Khalique, Chaudry Masood
NONLINEAR DYNAMICS, 2011, 63 (04) : 623 - 626
[7] STATIONARY SOLUTIONS TO THE GAUGED NONLINEAR SCHRODINGER-EQUATION
CHO, KH
OH, DH
RIM, CH
PHYSICAL REVIEW D, 1992, 46 (06): : 2709 - 2713
[8] On a nonlinear Schrodinger equation for nucleons in one space dimension
Klein, Christian
Rota Nodari, Simona
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2021, 55 (02) : 409 - 427
[9] A quadratic nonlinear Schrodinger equation in one space dimension
Hayashi, N
Naumkin, PI
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 186 (01) : 165 - 185
[10] On Multiwave Solutions of One Nonlinear Schrodinger Equation
Volobuev, A. N.
DIFFERENTIAL EQUATIONS, 2021, 57 (06) : 711 - 717

← 1 2 3 4 5 →