We report our experiences of programming in the functional languageSaC[1] anumericalmethod for theKPI (Kadomtsev-Petiviashvili I)equation.KPIdescribesthepropagationofnonlinearwaves inadispersive medium. It is an integro-differential, nonlinear equation with third-order derivatives, and so it presents a noticeable challenge in numerical solution, as well as being an important model for a range o...

Nonlinear differential equations are known to describe a wide variety of phenomena not only in physics, in which applications extend over magnetofluid dynamics, water surface gravity waves, electromagnetic radiation reactions, and ion acoustic waves in plasmas, just to name a few, but also in biology and chemistry. It is one of the important tasks in the study of nonlinear differential equation...

The dust acoustic wave (DAW) is a very low frequency (tens of Hz) dust density wave in which the dust particles participate in the wave dynamics. The early experimental observations of DAWs showed that the wave was self-excited by a modest relative ion drift and grew to very high amplitudes (~100%). In the first part of this paper we describe experiments showing the self-steepening of nonlinear...

A theoretical investigation has been made on the propagation of ion-acoustic shock waves in a magnetized pair-ion plasma having inertial warm positive and negative ions inertialess super-thermal electrons positrons. The well known Burgers equation derived by employing reductive perturbation method. model supports both structures under consideration It is found that oblique angle (?) enhances ma...

We show that a non-thermal electron distribution may change the nature of ion acoustic solitons. If the ions are assumed to respond as a fluid to perturbations in the potential, with no significant trapping in a potential well, then a thermal plasma only supports a solitary waves with a density peak. However, with a suitable distribution of non-thermal particles, solitary waves with both densit...

The linear stability of high-toroidal-number drift-ballooning modes in tokamaks is investigated with a model that includes resistive and viscous dissipation, and assumes the mode frequency to be comparable to both the sound and diamagnetic frequencies. The coupled effect of ion drift waves and electron drift-acoustic waves is shown to be important, resulting in destabilization over an intermedi...

The nonlinear three-wave interaction process at the heart of the parametric decay process is studied by launching counterpropagating Alfvén waves from antennas placed at either end of the Large Plasma Device. A resonance in the beat wave response produced by the two launched Alfvén waves is observed and is identified as a damped ion acoustic mode based on the measured dispersion relation. Other...

21 Waves in Cold Plasmas: Two-Fluid Formalism 1 21.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 21.2 Dielectric Tensor, Wave Equation, and General Dispersion Relation . . . . . 3 21.3 Two-Fluid Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 21.4 Wave Modes in an Unmagnetized Plasma . . . . . . . . . . . . . . . . . . . . 7 2...

Abstract The small amplitude ion-acoustic solitary waves in the magneto-rotating plasma consisting of cold fluid ions, hot positrons, and two-temperature electrons (cold electrons) are investigated when obey a modified Cairns-Tsallis distribution. By using reductive perturbation method, we derive Korteweg–de Vries equation obtain wave solutions. dependences solutions on nonextensive q -paramete...