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Modulational instability analysis of the cylindrical nonlinear von Neumann equation

Published online by Cambridge University Press:  13 June 2013

R. FEDELE ,
A. MANNAN ,
F. TANJIA ,
S. DE NICOLA ,
D. JOVANOVIĆ  and
L. GIANFRANI
R. FEDELE
Affiliation:
Dipartimento di Scienze Fisiche, Università di Napoli “Federico II” and INFN Napoli, Italy
A. MANNAN
Affiliation:
Dipartimento di Matematica e Fisica, Seconda Università di Napoli, Caserta, Italy (mannan@na.infn.it)
F. TANJIA
Affiliation:
Dipartimento di Scienze Fisiche, Università di Napoli “Federico II” and INFN Napoli, Italy
S. DE NICOLA
Affiliation:
INO-CNR Pozzuoli, and INFN Sezione di Napoli, Napoli, Italy
D. JOVANOVIĆ
Affiliation:
Institute of Physics, University of Belgrade, Belgrade, Serbia
L. GIANFRANI
Affiliation:
Dipartimento di Matematica e Fisica, Seconda Università di Napoli, Caserta, Italy (mannan@na.infn.it)
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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.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Special Issue 4: Advanced Plasma Concepts , August 2013 , pp. 443 - 446
Copyright
Copyright © Cambridge University Press 2013 

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