Journal ArticleDOI
Effect of nonlinear Landau damping on long time behaviour of modulational instability of Langmuir wave
J C Bhakta,D Majumder,M R Gupta +2 more
TLDR
In this paper, the effect of nonlinear Landau damping on the long term behavior of the modulational instability of a monochromatic Langmuir wave has been investigated.Abstract:
The effect of nonlinear Landau damping on the long term behaviour of the modulational instability of a monochromatic Langmuir wave has been investigated. The growth or decay of the perturbation amplitude is oscillatory in character. Most of the time the amplitude changes approximately linearly with time. Growth occurs for negative nonlinear frequency shift while it decays when the frequency shift is positive.read more
Citations
More filters
A perturbation expansion for the nonlinear Schroedinger equation with application to the influence of nonlinear Landrau damping
TL;DR: In this article, the Bogoliubov-Mitropolsky perturbation method has been applied to the study of perturbations on soliton solutions to the nonlinear Schrodinger equation and compared to those of Karpman and Maslov using the inverse scattering method to those by Ott and Sudan on the KdV equation and to a recent paper by Pereira and Stenflo.
Journal ArticleDOI
Variational approach to Langmuir waves described by the Zakharov equations
TL;DR: In this paper, nonlinear modulational instability and the evolution of a pulse that is initially non-solitonic for Langmuir waves described by the Zakharov equations are considered.
References
More filters
Journal ArticleDOI
Langmuir turbulence and modulational instability
S. G. Thornhill,D. Ter Haar +1 more
TL;DR: In this paper, the authors studied the dynamics of weak Langmuir turbulence and showed that the number of polynomial conserved densities (p.c.d.) of solitons in a three-dimensions soliton-like structures is a function of the density of the cavitons.
Journal ArticleDOI
Modulational instability and the Fermi‐Pasta‐Ulam recurrence
TL;DR: In this paper, the long-time behavior of the modulational instability of the nonlinear Schrodinger equation is investigated, and the Fermi-Pasta-Ulam recurrence is rediscovered.
Journal ArticleDOI
Modulation Instability of Electron Plasma Wave
TL;DR: A modified nonlinear Schrodinger equation obtained on the basis of the reductive perturbation theory is compared with one obtained by Dewar applying the Lagrangian method as mentioned in this paper, and it is shown that the both results agree each other for a special case of the one dimensional electrostatic modes in a collisionless plasma.
Journal ArticleDOI
A Perturbation Expansion for the Nonlinear Schrödinger Equation with Application to the Influence of Nonlinear Landau Damping
TL;DR: In this paper, the Bogoliubov-Mitropolsky perturbation method has been applied to the study of perturbations on soliton solutions to the nonlinear Schrodinger equation and compared to those of Karpman and Maslov using the inverse scattering method to those by Ott and Sudan on the KdV equation and to a recent paper by Pereira and Stenflo.
A perturbation expansion for the nonlinear Schroedinger equation with application to the influence of nonlinear Landrau damping
TL;DR: In this article, the Bogoliubov-Mitropolsky perturbation method has been applied to the study of perturbations on soliton solutions to the nonlinear Schrodinger equation and compared to those of Karpman and Maslov using the inverse scattering method to those by Ott and Sudan on the KdV equation and to a recent paper by Pereira and Stenflo.