Abstract
In this paper, a variational integrator is constructed for Gross-Pitaevskii equations in Bose-Einstein condensate. The discrete multi-symplectic geometric structure is derived. The discrete mass and energy conservation laws are proved. The numerical tests show the effectiveness of the variational integrator, and the performance of the proved discrete conservation law.
| Original language | English |
|---|---|
| Pages (from-to) | 120-125 |
| Number of pages | 6 |
| Journal | Applied Mathematics Letters |
| Volume | 60 |
| DOIs | |
| State | Published - 1 Oct 2016 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 7 Affordable and Clean Energy
Keywords
- Bose-Einstein condensate
- Conservation law
- Gross-Pitaevskii equation
- Multi-symplectic form formula
- Variational integrator
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