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International Journal of Theoretical Physics

, Volume 51, Issue 3, pp 698–704 | Cite as

Solitary Waves in Spherical Bessel Lattice

  • Zebin CaiEmail author
  • Jianchu Liang
  • Fan Ye
  • Yu Xu
Article
  • 140 Downloads

Abstract

The analytical solitary waves solution to (3+1)-dimensional Gross-Pitaevskii equation with varying coefficients and an spherical Bessel lattice potential is obtained, which is in the form of self-similar solitary waves. The properties and the stability of the solitary waves family are discussed in detail.

Keywords

GPE Analytical solution Spherical Bessel lattice 

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Supplementary material

The stable evolution of the solitary waves \(| 100 \rangle\) from t=0 to t=200. The parameters are set as β 0=−0.01,γ 0=0.01, a 0=0 and ω=0. A white noise with variance of ε=0.01 is added to the initial solution

The attenuation evolution of the solitary waves \(| 100 \rangle\) from t=0 to t=200. The parameters are set as β 0=−0.01, γ 0=0.01, a 0=0 and ω=0.01. A white noise with variance of ε=0.01 is added to the initial solution

The gain evolution of the solitary waves \(| 100 \rangle\) from t=0 to t=200. The parameters are set as β 0=−0.01, γ 0=0.01, a 0=0 and ω=−0.01. A white noise with variance of ε=0.01 is added to the initial solution

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Scientific Research DepartmentAir Force Early Warning AcademyWuhanChina
  2. 2.Department of Electronic ScienceHuizhou UniversityHuizhouChina

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