Ju-Kui Xue

A spherical KP equation for dust acoustic waves

Abstract The nonlinear dust acoustic waves in dusty plasmas with the combined effects of bounded spherical geometry and the transverse perturbation are studied. Using the perturbation method, a spherical Kadomtsev–Petviashvili (SKP) equation that describes the dust acoustic waves is deduced for the first time. Axa0particular solution of this SKP equation is also obtained. It is shown that the dust acoustic solitary wave can exist in the SKP equation.

Cylindrical dust acoustic waves with transverse perturbation

The nonlinear dust acoustic waves in dusty plasmas with the combined effects of bounded cylindrical geometry and the transverse perturbation are studied. Using the perturbation method, a cylindrical Kadomtsev–Petviashvili (CKP) equation that describes the dust acoustic waves is deduced for the first time. A particular solution of this CKP equation is also obtained. It is shown that the dust acoustic solitary waves can exist in the CKP equation.

Cylindrical and spherical dust–ion acoustic shock waves

The effect of the bounded nonplanar geometry on dust–ion acoustic shock wave (DIASW) in unmagnetized dusty plasmas is investigated for the first time. By using the standard reductive perturbation method, a cylindrical/spherical Korteweg–de Vries–Burgers (KdV–Burgers) equation is obtained. The change of the DIASW structure due to the effect of the geometry, dust density, and ion temperature is studied by numerical calculation of the cylindrical/spherical KdV–Burgers equation.

Shock wave in magnetized dusty plasmas with dust charging and nonthermal ion effects

The effects of the external magnetized field, nonadiabatic dust charge fluctuation, and nonthermally distributed ions on three-dimensional dust acoustic shock wave in dusty plasmas have been investigated. By using the reductive perturbation method, a Korteweg–de Vries (KdV) Burger equation governing the dust acoustic shock wave is derived. The results of numerical integrations of KdV Burger equation show that the external magnetized field, nonthermally distributed ions, and nonadiabatic dust charge fluctuation have strong influence on the shock structures.

Waves in a bounded quantum plasma with electron exchange-correlation effects

Within a quantum hydrodynamic model, the collective excitations of the quantum plasma with electron exchange-correlation effects in a nano-cylindrical wave guide are studied both analytically and numerically. The influences of the electron exchange-correlation potential, the radius of the wave guide, and the quantum effect on the dispersion properties of the bounded quantum plasma are discussed. Significant frequency-shift induced by the electron exchange-correlation effect, the radius of the wave guide and the quantum correction are observed. It is found that the influence of the electron exchange-correlation, the radius of the wave guide and the quantum correction on the wave modes in a bounded nano-waveguide are strongly coupled.

Streaming instability in bounded three-component quantum plasmas

By employing a quantum hydrodynamic model for bounded three-component quantum plasmas, two kinds of streaming instabilities due to ion-streaming and dust-streaming are studied. For this purpose, the dispersion relation for the bounded wave in quantum electron-ion-dust plasmas is obtained by carrying out a normal mode analysis. The results of theoretical analysis and numerical simulation show that the streaming speeds, the boundary conditions, and the quantum parameters strongly influence the instabilities. In particular, it is found that the boundary effect and the quantum effect are closely coupled, i.e., the quantum effect depends on the geometry parameters.

Propagation of nonplanar dust-acoustic envelope solitary waves in a two-ion-temperature dusty plasma

The evolution of the cylindrical and spherical dust-acoustic envelope solitary wave (DAESW) in an unmagnetized dusty plasma consisting of negatively charged dust fluid and ions of two different temperatures is investigated. By using the reductive perturbation method, the cylindrical and spherical geometry-modified nonlinear Schrodinger equation (GMNLSE) is obtained. The change of the DAESW amplitude due to the cylindrical and spherical geometry effects is deduced analytically. It is shown that there exist two time ranges. On the other hand, the wave amplitude changes with time τ as (τ0/τ)m/2 when the geometry effect is stronger and as (τ0/τ)m when the geometry effect is weaker, where τ0 is the initial time, and m=1 (2) refers to the cylindrical (spherical) case. The theoretical results are verified by the numerical calculation for the GMNLSE. The modulational instability of dust-acoustic waves governed by the GMNLSE is also presented. It is shown that the propagation of the DAESW in cylindrical geometry, ...

Nonplanar dust-ion acoustic shock waves with transverse perturbation

The nonlinear dust-ion acoustic shock waves in dusty plasmas with the combined effects of bounded cylindrical/spherical geometry, the transverse perturbation, the dust charge fluctuation, and the nonthermal electrons are studied. Using the perturbation method, a cylindrical/spherical Kadomtsev–Petviashvili Burgers equation that describes the dust-ion acoustic shock waves is deduced. A particular solution of the cylindrical/spherical Kadomtsev–Petviashvili Burgers equation is also obtained. It is shown that the dust-ion acoustic shock wave propagating in cylindrical/spherical geometry with transverse perturbation will be slightly deformed as time goes on.

Modulation of magnetized multidimensional waves in dusty plasma

The modulation of weakly three-dimensional (3D) dust-ion acoustic waves (DIAW) in a magnetized dusty plasma is studied. By using the standard reductive perturbation method, a three-dimensional nonlinear Schodinger equation (3D NLSE) in magnetized dusty plasma is obtained. The modulational instability of weakly 3D DIAW described by the 3D NLSE is investigated. Some new and important explicit criteria are obtained. It is shown that the modulation properties of weakly 3D DIAWs in magnetized and unmagnetized dusty plasmas are very different.

Stability of oblique modulation of dust-acoustic waves in a warm dusty plasma with dust charge variation

With the consideration of the dust charge variation, the oblique modulational instability of the dust-acoustic waves in an unmagnetized warm dust plasma is studied. A nonlinear Schrodinger equation governing the slow modulation of the wave amplitude is derived. The effect of the dust temperature, the dust charge variation, and the constituents of the dust grains, electrons, and ions on the oblique modulational instability of the dust-acoustic wave is presented. It is found that the dust temperature, the dust charge variation, and the constituents of the dust grains, electrons, and ions would modify the oblique modulational instability domain in the k–θ plane significantly.