Dust ion-acoustic cnoidal waves in a plasma with two temperature superthermal electrons

Abstract

An investigation of dust ion-acoustic (DIA) cnoidal waves in unmagnetized collisionless plasma consisting of two temperature superthermal electrons, inertial warm ions, and negatively charged dust grains is presented. Reductive perturbation technique has been used to derive the modified Korteweg-de Vries (mKdV) equation for the study of nonlinear periodic waves. Further, applying the Sagdeev potential approach, energy balance equation is derived. Using the expression for Sagdeev potential in expanded form, the cnoidal wave solution is determined. Both positive and negative potential (compressive and rarefactive) nonlinear DIA cnoidal structures are observed. The effects of parameters like the number density of cold electrons, superthermality of hot and cold electrons, ions to hot electrons temperature ratio, and dust to ion density ratio on the characteristics of DIA cnoidal waves are analyzed.

Experimental observation of cnoidal waveform of nonlinear dust acoustic waves

“…This has been predicted theoretically for nonlinear waves in various physical systems [34][35][36][37][38][39]. Theories have also been developed specifically for dusty plasmas [40][41][42][43][44][45][46], under various assumptions, predicting cnoidal solutions for nonlinear waves. For example, Yadav et al [40,41] derived a theory predicting a cnoidal solution for dust acoustic waves under an assumption that included Boltzmann electrons and ions and cold dust with fluctuating charges.…”

“…For example, Yadav et al [40,41] derived a theory predicting a cnoidal solution for dust acoustic waves under an assumption that included Boltzmann electrons and ions and cold dust with fluctuating charges. Saini et al [45] used a model consisting of two components of superthermal electrons to study cnoidal waves for nonlinear dust ion-acoustic waves while Tolba et al [46] studied cnoidal forms of dust acoustic waves in positively charged dusty plasmas. The basic nonlinear model equation, of which the cnoidal form is an exact solution, is the classical Korteweg de Vries (KdV) equation that has its historical origins in the study of surface water waves.…”

Dust‐acoustic envelope solitons in super‐thermal plasmas

“…The empirical results have shown the signature of the fast particles in the space and laboratory DPM. These fast particles are governed by the super‐thermal/ κ ‐distribution that was first introduced by the Vasyliunas .…”

“…The κ ‐distribution overlaps with the Maxwellian distribution when the super‐thermal parameter κ in the κ ‐distribution travels to infinite (i.e., κ → ∞). Saini and Sethi examined DIA‐CWs in a four component DPM, and found that the width and amplitude of the DIA‐CWs decrease with increasing value of κ . Alam et al investigated solitary waves (SWs) and DLs regarding DIAWs in a DPM in the presence of super‐thermal electrons, and observed that the amplitude of the negative DLs potential increases with super‐thermal parameter κ .…”

“…as well as laboratory plasmas [1] has encouraged researchers to investigate the propagation of electrostatic perturbation. Plasma physicists have encountered with dust-acoustic (DA) waves (DAWs), [1][2][3] dust-ion-acoustic (DIA) waves (DIAWs), [4] and DIA cnoidal waves (DIA-CWs) [5] as well as their associated non-linear structures such as shock, solitary, [1,2] and double layers (DLs) [6,7] to manifest the non-linear intrinsic properties of an electron-positron-ion-dust (EPID) plasma medium in the presence of highly energetic positrons. [1][2][3][4] The empirical results have shown the signature of the fast particles in the space [5][6][7][8][9] and laboratory DPM.…”