%0 Journal Article
%T Impact of Quantum Fluctuations on the Modulational Instability of a Modified Gross-Pitaevskii Equation with Two-Body Interaction
%A Camus Gaston Latchio Tiofack
%A Thierry Blanchard Ekogo
%A Hermance Moussambi
%A Alidou Mohamadou
%A Timoleon C. Kofane
%J Applied Mathematics
%P 844-850
%@ 2152-7393
%D 2012
%I Scientific Research Publishing
%R 10.4236/am.2012.38125
%X Modulational instability conditions for the generation of localized structures in the context of matter waves in Bose-Einstein condensates are investigated analytically and numerically. The model is based on a modified Gross-Pitaevskii equation, which account for the energy dependence of the two-body scattering amplitude. It is shown that the modified term due to the quantum fluctuations modify significantly the modulational instability gain. Direct numerical simulations of the full modified Gross-Pitaevskii equation are performed, and it is found that the modulated plane wave evolves into a train of pulses, which is destroyed at longer times due to the effects of quantum fluctuations.
%K Modulational Instability
%K Modified Gross-Pitaevskii Equation
%K Quantum Fluctuations
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=21475