Padé approximations of solitary wave solutions of the Gross-Pitaevskii equation

Natalia G. Berloff

Research output: Contribution to journalArticlepeer-review

77 Citations (Scopus)

Abstract

Padé approximates are used to find approximate vortex solutions of any winding number in the context of Gross-Pitaevskii equation for a uniform condensate and condensates with axisymmetric trapping potentials. Rational function and generalized rational function approximations of axisymmetric solitary waves of the Gross-Pitaevskii equation are obtained in two and three dimensions. These approximations are used to establish a new mechanism of vortex nucleation as a result of solitary wave interactions.

Original languageEnglish
Pages (from-to)1617-1632
Number of pages16
JournalJournal of Physics A: Mathematical and General
Volume37
Issue number5
DOIs
Publication statusPublished - 6 Feb 2004
Externally publishedYes

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