TY - JOUR
T1 - Modulational instability of Gross-Pitaevskii-type equations in [Formula Presented] dimensions
AU - Theocharis, G.
AU - Rapti, Z.
AU - Kevrekidis, P. G.
AU - Frantzeskakis, D. J.
AU - Konotop, V. V.
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevA.67.063610
DO - 10.1103/PhysRevA.67.063610
M3 - Article
AN - SCOPUS:85037215352
SN - 1050-2947
VL - 67
SP - 8
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
ER -