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: Univ Naples Federico II, Dipartimento Sci Fis, Naples, Italy; INFN Napoli, Naples, Italy; Univ Naples 2, Dipartimento Matemat & Fis, Caserta, Italy; INO CNR Pozzuoli, Naples, Italy; INFN Sez Napoli, Naples, Italy; Univ Belgrade, Inst Phys, 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      Pages from: 443  to: 446

More Information: This work is partially supported (D. J.) by the Serbian Ministry of Science and Education (grant #171006) and INFN-FAI.
KeyWords: Schrodinger-equation
DOI: 10.1017/S0022377813000585

Citations: 3
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