Modulational instability analysis of the cylindrical nonlinear von Neumann equation

Year: 2013

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.


Volume: 79 (part 4)      Pages from: 443  to: 446

More Information: doi:10.1017/S0022377813000585
KeyWords: nonlinear Schr¨odinger equation
DOI: 10.1017/S0022377813000585

Citations: 3
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