Higher‐order inertial Alfvén wave dressed solitons, quasiperiodic structures, and chaos in plasmas

Abstract

The higher‐order, low‐amplitude inertial Alfvén wave (IAW) dressed soliton and chaos are investigated in a magnetized plasma. In the linear limit, the dispersion relation for propagation of IAWs in plasmas is also obtained in the presence of electron thermal effects and illustrated numerically. It is found that the electron inertial length plays an important role for wave dispersion effects and its phase speed is increased on including the electron temperature in the model. The reductive perturbation method is employed to obtain the first‐order IAW Korteweg–de Vries (KdV) soliton and second‐order dressed soliton solutions analytically, which gives electron density dip (or rarefactive) structure and moves with super Alfvénic speed in plasmas. The numerical illustrations of the KdV and dressed IAW solitons are also presented by using the laboratory and space plasma parameters given in the literature. Furthermore, a numerical study of quasi‐periodicity and chaotic behaviour of IAWs in the presence of external periodic force is also discussed in detail. The effects of plasma beta (which depends on plasma density, electron temperature, and magnetic field intensity) and obliqueness of the wave propagation on the formation of nonlinear Alfvénic wave structures have also been presented.

Normal form for bifurcations of ion acoustic traveling waves in positive-negative ion species plasmas

“…It can also illustrate clearly the evolution of the nonlinear system for a small change in the value of the control parameter. The study of nonlinear excitations of electrostatic disturbances in the frame work of bifurcation technique and phase portrait analysis has recently received considerable attention [50][51][52][53][54][55][56][57][58][59][60]. Misra et al [50] investigated the saddle-node bifurcation and modulational instability associated with the pulse propagation of nonlinear waves in dissipative dusty plasma.…”

“…Selim et al [52] applied the bifurcation theory of planar dynamical systems and studied the existence of the solitary wave solutions and the periodic traveling wave solutions. Mahmood et al [53,54] investigated the basic features of waves and chaos in a magnetized plasma. In the presence of forcing perturbations, they presented some conditions for transition to chaotic behavior.…”

Stability and bifurcation analysis of low‐frequency electrostatic waves in warm negative ion plasmas

“…Selim et al [47] investigated bifurcations of nonlinear travelling waves in multi-competent magneto-plasmas with superthermal electrons. Mahmood et al [48,49] studied the nonlinear dynamics and phase portraits of kinetic Alfven wave solitons and higher order inertial Alfven dressed localized waves in a magnetized plasma. They found some conditions for the quasi-periodic and chaotic behaviour of nonlinear Alfven waves in plasmas in the presence of external perturbations.…”

“…[41][42][43][44] The most of these studies on the nonlinear waves and existence domains of disturbances have been based on the frame work of phase portraits analysis and bifurcation techniques. [34,[45][46][47][48][49][50][51][52][53][54][55] Misra et al [45] investigated the occurrence of saddle-node bifurcation and modulational instability associated with the envelope solitons in viscous dusty plasma. Rufai et al [46] studied finite amplitude nonlinear ion-acoustic structures in a magnetized two component auroral plasma.…”

Large-amplitude dust inertial Alfvén waves in an electron-depleted dusty plasma

“…in magnetised/unmagnetised space dusty plasmas in the framework of reductive 0123456789(). : V,-vol perturbation approach and Sagdeev pseudopotential method [10][11][12][13][14][15][16][17][18][19]. Due to the large size of the dust grains, electrons can stick to the dust grain surface.…”