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Hirota method for the nonlinear Schroedinger equation with an arbitrary linear time-dependent potential

Journal Article · · Annals of Physics (New York)
OSTI ID:21077652
 [1];  [2];  [3];  [1]
  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)
+ Show Author Affiliations
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.
OSTI ID:
21077652
Journal Information:
Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 11 Vol. 322; ISSN 0003-4916; ISSN APNYA6
Country of Publication:
United States
Language:
English

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
POTENTIALS
SCHROEDINGER EQUATION
SOLITONS
TIME DEPENDENCE