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The present chapter focuses on the integrability of Gross-Pitaevskii equations with time-varying external potential that govern the dynamics of External potential Bose-Einstein condensates with either the two- or both two- and Bose-Einstein condensatethree-body interatomic interactions. We mainly discuss analytically the interactions of matter waves in BECs trapped in time-dependent potential when theMatter wave gain/loss of the condensate atoms is taken into account.

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Engineering Localized Waves in Gross-Pitaevskii Equations with Time-Dependent Trapping Potentials

  • 章节

  • 发表日期：

    2025年

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  • Emmanuel Kengne,
  • Wu-Ming Liu

摘要

The present chapter focuses on the integrability of Gross-Pitaevskii equations with time-varying external potential that govern the dynamics of External potential Bose-Einstein condensates with either the two- or both two- and Bose-Einstein condensatethree-body interatomic interactions. We mainly discuss analytically the interactions of matter waves in BECs trapped in time-dependent potential when theMatter wave gain/loss of the condensate atoms is taken into account.