Modulational instability of Gross-Pitaevskii-type equations in [Formula Presented] dimensions

G. Theocharis, Z. Rapti, P. G. Kevrekidis, D. J. Frantzeskakis, V. V. Konotop

Research output: Contribution to journalArticlepeer-review


The modulational instability of the nonlinear Schrödinger (NLS) equation is examined in the case with a quadratic external potential. This study is motivated by recent experimental results in the context of matter waves in Bose-Einstein condensates (BECs). The theoretical analysis invokes a lens-type transformation that converts the Gross-Pitaevskii into a modified NLS equation without explicit spatial dependence. This analysis suggests the particular interest of a specific time-varying potential [Formula Presented] We examine both this potential, as well as the time-independent one numerically and conclude by suggesting experiments for the production of solitonic wave trains in BECs.

Original languageEnglish (US)
Pages (from-to)8
Number of pages1
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - 2003
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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