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Matter rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates.

ABSTRACT: To show the existence and properties of matter rogue waves in an F=1 spinor Bose-Einstein condensate (BEC), we work on the three-component Gross-Pitaevskii (GP) equations. Via the Darboux-dressing transformation, we obtain a family of rational solutions describing the extreme events, i.e. rogue waves. This family of solutions includes bright-dark-bright and bright-bright-bright rogue waves. The algebraic construction depends on Lax matrices and their Jordan form. The conditions for the existence of rogue wave solutions in an F=1 spinor BEC are discussed. For the three-component GP equations, if there is modulation instability, it is of baseband type only, confirming our analytic conditions. The energy transfers between the waves are discussed.

SUBMITTER: Sun WR

PROVIDER: S-EPMC5806011 | biostudies-literature | 2018 Jan

REPOSITORIES: biostudies-literature

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Matter rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates.

Sun Wen-Rong WR Sun Wen-Rong WR Wang Lei L

Proceedings. Mathematical, physical, and engineering sciences 20180103 2209

To show the existence and properties of matter rogue waves in an <i>F</i>=1 spinor Bose-Einstein condensate (BEC), we work on the three-component Gross-Pitaevskii (GP) equations. Via the Darboux-dressing transformation, we obtain a family of rational solutions describing the extreme events, i.e. rogue waves. This family of solutions includes bright-dark-bright and bright-bright-bright rogue waves. The algebraic construction depends on Lax matrices and their Jordan form. The conditions for the ex ...[more]

PMID: 29434501

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