Published November 2007
| Version v1
Journal article
Hirota method for the nonlinear Schroedinger equation with an arbitrary linear time-dependent potential
- 1. Department of Applied Physics, Hebei University of Technology, Tianjin 300130 (China)
- 2. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080 (China)
- 3. Department of Physics, North University of China, Taiyuan 030051 (China)
Description
In this paper, a Hirota method is developed for applying to the nonlinear Schroedinger equation with an arbitrary time-dependent linear potential which denotes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein condensation. The nonlinear Schroedinger equation is decoupled to two equations carefully. With a reasonable assumption the one- and two-soliton solutions are constructed analytically in the presence of an arbitrary time-dependent linear potential
Availability note (English)
Available from http://dx.doi.org/10.1016/j.aop.2006.11.012Additional details
Identifiers
- DOI
- 10.1016/j.aop.2006.11.012;
- arXiv
- arXiv:1012.5470v1;
- PII
- S0003-4916(06)00258-2;
Publishing Information
- Journal Title
- Annals of Physics (New York)
- Journal Volume
- 322
- Journal Issue
- 11
- Journal Page Range
- p. 2545-2553
- ISSN
- 0003-4916
- CODEN
- APNYA6
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39090071
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOSE-EINSTEIN CONDENSATION; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS; SCHROEDINGER EQUATION; SOLITONS; TIME DEPENDENCE
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; WAVE EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.