Stationary solutions of the one-dimensional nonlinear Schrodinger equation. I. Case of repulsive nonlinearity

被引：271

作者：

Carr, LD ^{[1
]}

Clark, CW

Reinhardt, WP

机构：

[1] Univ Washington, Dept Phys, Seattle, WA 98195 USA

[2] US Dept Commerce, Technol Adm, Natl Inst Stand & Technol, Div Electron & Opt Phys, Gaithersburg, MD 20899 USA

[3] Univ Washington, Dept Chem, Seattle, WA 98195 USA

来源：

PHYSICAL REVIEW A | 2000年 / 62卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.62.063610

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

All stationary solutions to the one-dimensional nonlinear Schrodinger equation under box and periodic boundary conditions are presented in analytic form. We consider the case of repulsive nonlinearity; in a companion paper we treat the attractive case. Our solutions take the form of stationary trains of dark or gray density-notch solitons. Real stationary states are in one-to-one correspondence with those of the linear Schrodinger equation. Complex stationary states are uniquely nonlinear, nodeless, and symmetry breaking. Our solutions apply to many physical contexts, including the Bose-Einstein condensate and optical pulses in fibers.

引用

页码：063610 / 063611

页数：10

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