Computational Mathematics and Modeling

, Volume 25, Issue 3, pp 306–314 | Cite as

Search for Soliton Solutions in the Three-Dimensional Gross–Pitaevskii Equation

Article
First Online:

The article proposes an iterative method to find soliton solutions of the three-dimensional Gross–Pitaevskii equation that describes the interaction of a Bose–Einstein condensate with an external potential (a magnetic trap, an obstacle, etc.). The method finds both primary and reflected soliton solutions. It can also be applied to find soliton solutions of other nonlinear differential evolution equations. The method can be efficiently implemented on parallel computer systems, producing high-accuracy soliton solutions.

Keywords

soliton iterative method convergence nonlinear differential equation Bose-Einstein condensate 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Faculty of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia

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