Study of nonlinear wave processes in plasmas using the formalism of a special Lorntz transformation for a space-independent fram

S. N. Paul, B. Chakraborty and L. Debnath

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-16

Abstract:

A study is made of nonlinear waves in plasmas using the formalism of a special Lorentz transformation for a space-independent frame, S ′ . This special transformation is used to transform the space-time dependent equations in a cold, relativistic, magnetized plasma to the S ′ frame. Then the transformed equations are employed to derive the expressions for the Lagrangian and the Hamiltonian in the S ′ frame. The Lagrengian and the Hamiltonian for a strong circularly polarized laser beam have also been obtained in the S ′ frame. The exact form of the nonlinear dispersion relation is derived for circularly polarized waves. Then the results for the frequency and the wave number shifts of these waves in a cold, magnetized relativistic plasma are obtained with some Discussion on the nature of the frequency shifts. Finally, numerical results are presented for the radiation of Nd-glass laser in dense plasmas.

Date: 1985
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/8/264234.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/8/264234.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:264234

DOI: 10.1155/S0161171285000655

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().