Cylindrical dissipative soliton propagation in nonthermal mesospheric plasmas

Abstract

Wave properties of damped solitons in a collisional unmagnetized four-component dusty fluid plasma system containing nonthermal distributed electrons, mobile ions and negative-positive dusty grains have been examined. To study dissipative DIA mode properties, a reductive perturbation analysis is used under convenient geometrical coordinate transformation, a three dimensionally damped Kadomtsev-Petviashvili equation 3D-CDKP in cylindrical coordinates is obtained. The effects of electron nonthermality and collisional parameters on damped soliton pulse structures are studied. More specifically, the coordinate impact of axial, radial and polar with the time on solitary propagation are examined. This investigation may be viable in plasmas of the Earth's mesosphere.

Symbolic computation and sensitivity analysis of nonlinear Kudryashov’s dynamical equation with applications

“…Additionally, the solution holds the actual physical behavior of the considered equation. For this reason, investigation of the solution of these equations has become increasingly significant and taken considerable attention and several efficient techniques have been presented in the literature, for instance, the homogeneous balance method [1], simplified Hirota bilinear method [2], Hirota bilinear method [2], modified simple equation method [3], first integral method [4], sine-cosine method [5], mapping method [6], sub-ODE method [7], (G '/G)-expansion method [8], extended trial function, rational transformed function method [9,10], modified analytical methods [11][12][13][14][15], solitary wave solutions of some mathematical models [16][17][18][19][20], soliton and solitary wave solutions [21][22][23][24], new, extended and modified analytical methods (Seadawy techniques) [25][26][27][28][29][30][31]. Lower-dimensional solitons and solitary wave solutions have been founded more readily.…”

Microdynamic and thermodynamic properties of dissipative dust-acoustic solitons

“…At the same time, physics of plasma dissipative soliton is just beginning to develop. Models of dissipative solitons are presented in [20][21][22][23][24] (for ion-, electron-, dust-acoustic (DA) modes) and [25,26] (for Langmuir mode). Despite the fact that abovementioned models describe solitons of various types, they all exhibit a common feature: in the case of weak dissipation, the dissipative soliton has a profile close to a classical one, while the wave evolution corresponds to a slow decay.…”

“…Despite the fact that abovementioned models describe solitons of various types, they all exhibit a common feature: in the case of weak dissipation, the dissipative soliton has a profile close to a classical one, while the wave evolution corresponds to a slow decay. It should be noted that none of the acoustic models [20][21][22][23][24] considers the concept of dissipative solitons in terms of self-organization because of a lack of forces compensating for dissipation. In experimental works [27,28] only dissipative solitons with external pulse excitation were studied.…”

On the nonlinear new wave solutions in unstable dispersive environments

“…No one can relegate that partial differential nonlinear integrable evolution equations (PDNIES) are widespread in nature scientific phenomena in physics and fluid dynamics [1][2][3][4][5][6][7][8][9]. A comparison of theoretical and computational analysis with the observations and prediction studies for physical environments suggests that it is indispensable to inspect some physical properties as particle temperature, impurities, obliqueness, viscosity and nonlinear damping on the soliton envelopes that propagate in the studied medium [10][11][12]. These properties cause nonlinear, dispersion and dissipative wave forms which displayed and described by PDNIES [13,14].…”