Modulational instability analysis of the cylindrical nonlinear von Neumann equation
Authors: Fedele R., Mannan A., Tanjia F., De Nicola S., Jovanovic D., Gianfrani L.
Autors Affiliation: Dipartimento di Scienze Fisiche, Università di Napoli “Federico II” and INFN Napoli, Italy; Dipartimento di Matematica e Fisica, Seconda Università di Napoli, Caserta, Italy; INO-CNR Pozzuoli, and INFN Sezione di Napoli, Napoli, Italy; Institute of Physics, University of Belgrade, Belgrade, Serbia
Abstract: A theoretical investigation of both deterministic and statistical approaches to modulational instability arising in the cylindrical nonlinear von Neumann equation (CNLvNE) is carried out. This is done on the basis of a recently discovered exact mapping that relates the CNLvNE to the standard one. We show that the dispersion relations of the cylindrical case (for the examples considered here) do not depend explicitly on time and their functional forms do not change with respect to the corresponding standard cases. These results differ from the previous investigations.
Journal/Review: JOURNAL OF PLASMA PHYSICS
Volume: 79 (part 4) Pages from: 443 to: 446
More Information: doi:10.1017/S0022377813000585KeyWords: nonlinear Schr¨odinger equationDOI: 10.1017/S0022377813000585Citations: 3data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2022-01-23References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here