Optical leptons.
Kovachev, Lubomir M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Optical vortices in dispersive nonlinear Kerr-type media.”
Optical leptons.
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In this paper, we present a nonlinear model for laser-plasma interaction describing the Raman amplification. This system is a quasilinear coupling of several Zakharov systems. We handle the Cauchy problem and we give some well-posedness and ill-posedness result for some subsystems.
Theoretical and numerical study of a quasi-linear Zakharov system describing Landau damping
R. Belaouar, T. Colin, G. Gallice, C. Galusinski (2006)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, we study a Zakharov system coupled to an electron diffusion equation in order to describe laser-plasma interactions. Starting from the Vlasov-Maxwell system, we derive a nonlinear Schrödinger like system which takes into account the energy exchanged between the plasma waves and the electrons via Landau damping. Two existence theorems are established in a subsonic regime. Using a time-splitting, spectral discretizations for the Zakharov system and a finite difference scheme...