Oblique propagation of dust ion-acoustic solitary waves in a magnetized dusty pair-ion plasma

Abstract

We investigate the propagation characteristics of electrostatic waves in a magnetized pair-ion plasma with immobile charged dusts. It is shown that obliquely propagating (OP) low-frequency (in comparison with the negative-ion cyclotron frequency) long-wavelength "slow" and "fast" modes can propagate, respectively, as dust ion-acoustic (DIA) and dust ion-cyclotron (DIC)-like waves. The properties of these modes are studied with the effects of obliqueness of propagation (θ), the static magnetic field, the ratios of the negative to positive ion masses (m) and temperatures (T ) as well as the dust to negative-ion number density ratio (δ). Using the standard reductive perturbation technique, we derive a Korteweg-de Vries (KdV) equation which governs the evolution of small-amplitude OP DIA waves. It is found that the KdV equation admits only rarefactive solitons in plasmas with m well below its critical value m c ( 1) which typically depends on T and δ. It is shown that the nonlinear coefficient of the KdV equation vanishes at m = m c , i.e., for plasmas with much heavier negative ions, and the evolution of the DIA waves is then described by a modified KdV (mKdV) equation. The latter is shown to have only compressive soliton solution. The properties of both the KdV and mKdV solitons are studied with the system parameters as above, and possible applications of our results to laboratory and space plasmas are briefly discussed.

Nonlinear dust-acoustic solitary waves and shocks in dusty plasmas with a pair of trapped ions

“…It is also seen that the change of distribution of the trapped positive (negative) ions from a hump (dip) shaped through flat-topped to Boltzmannian has weighty effect on the height and width of both solitary and shock wave potentials. The results may be useful for understanding the propagation characteristics of nonlinear dust-acoustic waves and shocks in laboratory plasmas where, e.g., n p0 ~10 14 m -3 , n n0 ~10 14 m -3 , n d0 ~10 10 m -3 , z d0 ~10 4 e, m p /m n =28/300≈0.4, T p ~10 3 K, T p ~3X10 2 K, and space plasmas, e.g., in a dusty region at an altitude of about 95 km in the Earth's mesosphere [24,26,27] where Tp~Tn~200 K, m n /m p =300/28≈10.7, n n0 ~2x10 10 m -3 , n p0 ~10 10 m -3 , z d n d0 ~10 10 m -3 . FIG.…”

“…Also, Adak et al [23] studied the propagation of shocks in a collisional pair-ion plasma. Furthermore, Misra and Barman [24] discussed the effects of obliqueness and magnetic field on the propagation of DIA SWs in magnetized pair-ion plasmas and concluded that the transition of solitary wave from rarefactive to compressive depends on the mass ratio of negative to positive ions.…”

Propagation of the nonlinear damped Korteweg‐de Vries equation in an unmagnetized collisional dusty plasma via analytical mathematical methods

“…13 Recently, the researchers have investigated the nonlinear phenomena for DIASWs under dusty plasmas consisting of dust fluid with negative charge, ions with positive charge, q-nonextensive electrons, and background neutral particles under the observation of ionization effect, dust ion, losses of ion, neutrals ion, and collision for dusty neutrals and found two nonlinear models called damped Korteweg-de Vries (D-KdV) and damped modified Korteweg-de Vries (D-mKdV) equations by using reductive perturbation technique (RPT) and also constructed the solutions in the form of solitary waves by momentum conservation law, 14 and many other scholars have investigated theoretical and experimental study on propagations for nonlinear DIAWs in dust plasmas. [15][16][17][18][19][20][21][22][23][24] The nonlinear partial differential equations (PDEs) and its solitary wave solutions have marvelous applications in the process of nonlinear behavior to know the features and deliver the best knowledge in the area of nonlinear sciences. [25][26][27][28][29][30][31] A diverse groups of researchers, physicists, and mathematicians found many new techniques to determined the solitary wave solutions for nonlinear PDEs; some important techniques are Exp-function technique, the technique of Hirota bilinear, the method of Backlund transformation, the method of Darboux transform, the technique of trial equation, the technique of Jacobian elliptic function, the technique of extended Fan subequation, the extension of mapping technique, the technique of sinh-cosh, the direct algebraic technique, the method of sech-tanh, the extension of F-expansion technique, the modification of extended mapping technique, the Reccati equation mapping technique, the improved Exp (− ( )) -expansion method, the extension of simple equation method, [32][33][34][35][36][37][38][39][40][41][42] and etc.…”

“…The activity for DIASWs under collision plasmas shows the action for DIAWs due to the motion of electrons and ions familiarized in electrostatic field by using analysis of fluid 13 . Recently, the researchers have investigated the nonlinear phenomena for DIASWs under dusty plasmas consisting of dust fluid with negative charge, ions with positive charge, q‐nonextensive electrons, and background neutral particles under the observation of ionization effect, dust ion, losses of ion, neutrals ion, and collision for dusty neutrals and found two nonlinear models called damped Korteweg‐de Vries (D‐KdV) and damped modified Korteweg‐de Vries (D‐mKdV) equations by using reductive perturbation technique (RPT) and also constructed the solutions in the form of solitary waves by momentum conservation law, 14 and many other scholars have investigated theoretical and experimental study on propagations for nonlinear DIAWs in dust plasmas 15‐24 …”

Dust acoustic dromions in a magnetized dusty plasma with superthermal electrons and ions

“…In plasma medium, the magnetic field exerts Lorentz force on the moving charged particles which confines the trajectory of moving charged particles into a helix, thus affecting the properties of nonlinear structures so formed. A number of researchers have investigated the various nonlinear solitary structures in magnetized dusty plasmas which contain charged particles obeying different kinds of distributions [ Mamun , ; Mamun et al , ; Mamun , ; Kundu et al , ; Misra and Barman , ; El‐Taibany et al , ; Hossen et al , ]. To the best of our knowledge, the study of DA dromions (2‐D nonlinear structures) in a magnetized dusty plasma consisting of charged particles featuring kappa distribution has not been reported so far.…”