Explicit solutions to an effective Gross-Pitaevskii equation: One-dimensional Bose-Einstein condensate in specific traps

E. Kengne*, X. X. Liu, B. A. Malomed, S. T. Chui, W. M. Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

An effective Gross-Pitaevskii equation, which describes the dynamics of quasi-one-dimensional Bose-Einstein condensates in specific potential traps, is considered, and new families of exact solutions are reported, which include periodic and solitary waves. The solutions are applied to the description of BEC patterns trapped in optical-lattice potentials.

Original languageEnglish
Article number023503
JournalJournal of Mathematical Physics
Volume49
Issue number2
DOIs
StatePublished - 2008

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