The nonlinear effects of an magnetized plasma of a system including two kinds of electrons with Kappa distribution, warm ions, in the presence of an electron beam have been investigated. The nonlinear differential equation governing this system is derived using the reduction perturbation approach. The propagation of waves in plasma settings is significantly impacted by the electron beam's existence as a unique component. The results demonstrate that soliton waves propagating in the proposed plasma environment experience changes in their amplitude, phase speed, and nonlinear coefficient owing to the presence of the electron beam. The current results demonstrate that the electron number density of the beam may be used to regulate the propagation of ion acoustic waves in plasmas. The outcomes obtained have applications in plasma laser interaction.

In this paper, we have studied a dusty plasma system including the nonthermal trapped electrons with Cairns–Gurevich distribution, mobile ions, and charge fluctuation stationary dust grains. Using the reduction perturbation technique, we have obtained two various differential equations governing this model of plasma. These equations are the modified nonlinear differential equations so-called the Schamel equation and the generalized Korteweg–de Vries (GKDV) equation. Analytical solutions show that the solitary waves can propagate in mentioned dusty plasma. Dispersion and nonlinear coefficients obtained depend on the trapping parameter ( χ ), a nonthermal electron parameter ( b ), the ion-to-electron temperature ratio ( σ_i ) and the Maxwellian distribution ( α ). Also, the combined effect of an electron trapping and dust charge fluctuation on the nonlinear equation governing on this model was investigated. It is found that the amplitude and the width of solitary wave depend on trapped parameter, dust charge fluctuation, strength of non-Maxwellian distribution and nonthermal parameter. We have presented some physical explanations that support our results. The results of this study can be used to investigate the stability, instability of space, laser plasma interaction and laboratory plasma waves in which particles are trapped.

The theory of low-frequency (in comparison with the ion cyclotron frequency), long wavelength, electrostatic drift ion-acoustic waves (IAWs) is studied in a nonuniform rotating magnetoplasma with two temperature superthermal electrons. In the linear limit, the coupling of IAWs and drift waves by the density inhomogeneity is shown to produce a new wave mode which typically depends on the density gradient, the rotational frequency and the spectral indexes of superthermal electrons. In the nonlinear regime, an evolution equation for the drift IAWs is derived by the dispersion approach, and using the Jacobi elliptic function expansion technique its exact solitary and periodic wave solutions (namely, cnoidal and dnoidal) are also obtained. The properties of these solutions are numerically examined and it is found that they are significantly modified by the effects of the background density gradient, the superthermality of electrons and the Coriolis force associated with the rotational motion of ions.

In this work, we first introduce a nonlinear Schrodinger and a nonlinear Klein–Gordon equations. Then we deform these equations to a the q-nonlinear Schrodinger and q-nonlinear Klein–Gordon equations. This is done using the formalism of generalized uncertainty principle (GUP). We also study the deformed nonlinear solutions.

The nonlinear propagation of cylindrical and spherical dust-ion-acoustic (DIA) envelope solitary waves in unmagnetized dusty plasma consisting of dust particles with opposite polarity and non-extensive distribution of electron is investigated. By using the reductive perturbation method, the modified nonlinear Schrödinger (NLS) equation in cylindrical and spherical geometry is obtained. The modulational instability (MI) of DIA waves governed by the NLS equation is also presented. The effects of different ranges of the non-extensive parameter q on the MI are studied. The growth rate of the MI is also given for different values of q. It is found that the basic features of the DIA waves are significantly modified by non-extensive electron distribution, polarity of the net dust-charge number density and non-planar geometry.

The nonlinear wave modulation of planar and non-planar (cylindrical and spherical) dust-acoustic waves (DAW) propagating in dusty plasmas, in the presence of non-extensive distributions for ions and electrons is investigated. By employing multiple scales technique, a cylindrically and spherically modified nonlinear Schrödinger equation (NLSE) is derived. The presence of hot non-extensive q -distributed ions and electron is shown to influence the modulational instability (MI) of the waves. It is shown that the properties of the MI of DAW in cylindrical and spherical geometry differ from those in a planar one-dimensional geometry. Furthermore, it is observed that the non-extensive distributed ions have more effect on the MI of the DAW than electrons. Also, it is found that there is a MI period for cylindrical and spherical wave modulations, which does not exist in the one-dimensional case.

Stability of a dust acoustic wave in cylindrical complex plasmas is investigated. Effects of a static magnetic field (axial) and an electric field (radial) on the propagation of a low frequency wave are studied. The linear dispersion relations of rotational modes and breathing modes are derived. When a dusty plasma is confined in a finite region, the void behavior is observed at high speed rotation. Vivid structures of different-mode-number solutions are illustrated.

A theoretical investigation is made of the low-frequency electrostatic modes in a cylindrical system and in magnetized dusty plasmas. The linear dispersion relation of the rotational modes is derived. We discuss the difference between the magnetized and unmagnetized modes. When the dusty plasma is confined in a finite region, the void behavior is observed at high speed rotation. Vivid structures of different mode number solutions are illustrated.

The effect of Mn2+Co2+Ti4+ substitution on microwave absorption has been studied for BaCo0.5Mn0.5Ti1.0Fe10O19 ferrite–acrylic resin composites in frequency range from 12 to 20GHz. X-ray diffraction (XRD), scanning electron microscope (SEM), vibrating sample magnetometer, AC susceptometer and vector network analyzer were used to analyze the structural, magnetic and microwave absorption properties. The results showed that the magnetoplumbite structures for all samples have been formed. Based on microwave measurement on reflectivity, BaCo0.5Mn0.5Ti1.0Fe10O19 may be a good candidate for electromagnetic compatibility and other practical applications at high frequency.