Published June 2006 | Version v1
Journal article

Exact soliton-on-plane-wave solutions for two-component Bose-Einstein condensates

  • 1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080 (China)
  • 2. College of Physics and Electronics Engineering, Shanxi University, Taiyuan, 030006 (China)
  • 3. Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)
  • 4. Institute of Atomic Physics, Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest (Romania)

Description

By means of the Darboux transformation, we obtain analytical solutions for a soliton set on top of a plane-wave background in coupled Gross-Pitaevskii equations describing a binary Bose-Einstein condensate. We consider basic properties of the solutions with and without the cross interaction [cross phase modulation (XPM)] between the two components of the background. In the absence of the XPM, this solutions maintain properties of one-component condensates, such as the modulation instability (MI); in the presence of the cross interaction, the solutions exhibit different properties, such as restriction of the MI and soliton splitting

Additional details

Identifiers

Publishing Information

Journal Title
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Journal Volume
73
Journal Issue
6
Journal Page Range
p. 066610-066610.6
ISSN
1063-651X
CODEN
PLEEE8

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39083997
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; BOSE-EINSTEIN CONDENSATION; INTERACTIONS; MODULATION; SOLITONS; TRANSFORMATIONS; WAVE EQUATIONS; WAVE PROPAGATION
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES

Optional Information

Notes
(c) 2006 The American Physical Society