caa a22 4500 463197348 CHVBK 20180406164926.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10773-006-9265-2 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9265-2 Statistical Approach of Modulational Instability in the Class of Derivative Nonlinear Schrödinger Equations [Elektronische Daten] [A. Grecu, D. Grecu, Anca Visinescu] The modulational instability (MI) in the class of NLS equations is discussed using a statistical approach (SAMI). A kinetic equation for the two-point correlation function is studied in a linear approximation, and an integral stability equation is found. The modulational instability is associated with a positive imaginary part of the frequency. The integral equation is solved for different types of initial distributions (δ-function, Lorentzian) and the results are compared with those obtained using a deterministic approach (DAMI). The differences between MI of the normal NLS equation and derivative NLS equations is emphasized. Springer Science+Business Media, LLC, 2006 NLS equations nationallicence modulational instability nationallicence Grecu A. Department of Theoretical Physics, "Horia Hulubei” National Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest, Romania aut Grecu D. Department of Theoretical Physics, "Horia Hulubei” National Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest, Romania aut Visinescu Anca Department of Theoretical Physics, "Horia Hulubei” National Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest, Romania aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1190-1204 0020-7748 46:5<1190 2007 46 10773 https://doi.org/10.1007/s10773-006-9265-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9265-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Grecu A. Department of Theoretical Physics, "Horia Hulubei” National Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest, Romania aut NATIONALLICENCE 700 1- Grecu D. Department of Theoretical Physics, "Horia Hulubei” National Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest, Romania aut NATIONALLICENCE 700 1- Visinescu Anca Department of Theoretical Physics, "Horia Hulubei” National Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest, Romania aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1190-1204 0020-7748 46:5<1190 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer