Overtaking collision of two ion acoustic soliton in a plasma with a q-nonextensive electron and thermal positrons

Roy, Kaushik; Maji, Tapas Kumar; Ghorui, Malay Kumar; Chatterjee, Prasanta; Roychoudhury, Rajkumar

doi:10.1007/s10509-014-1906-y

Cited by 24 publications

(11 citation statements)

References 48 publications

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“…On the other hand, the sinusoidal and rational solutions of plasma equations are also found and given in Eqs. (19), (20), (27), and (30).…”

Section: Discussionmentioning

confidence: 99%

“…24 Many authors have studied the soliton solutions of Korteweg-de Vries (KdV) type equations in plasma by deriving them using different reductive perturbation techniques and they solved them using different methods, such as numerical methods, analytic solution, etc. 22,[25][26][27][28][29][30][31] These works revealed the physical properties of the plasmas considering only one solution of the KdV equation under some approximations. In this paper, we have analytically solved the KdV type equation given by Mehdipoor and Neirameh, 30 Kalita and Deka 31 using the two different expansion methods, ðG 0 =GÞ and ðG 0 =G; 1=GÞ without any approximation.…”

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confidence: 98%

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Investigating the effect of integration constants and various plasma parameters on the dynamics of the soliton in different physical plasmas

Dağhan

Dönmez

2015

Physics of Plasmas

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The nonlinear dynamics and propagation of ion acoustic waves in a relativistic and ideal plasmas, which have the pressure variation of electrons and ions and degenerate electrons, are investigated using the analytic solution of KdV type equations performed applying (G′/G)-expansion and (G′/G,1/G)-expansion methods. The effects of various parameters, such as phase velocity of the ion acoustic wave, the ratio of ion temperature to electron temperature, normalized speed of light, electron and ion streaming velocities, arbitrary and integration constants, on the soliton dynamics are studied. We have found that dim and hump solitons and their amplitudes, widths and dynamics strongly depend on these plasma parameters and integration constants. The source term μ plays also a vital role in the formation of the solitons. Moreover, it is also found that the observed solitary wave solution can be excited from hump soliton to dip soliton. This dramatic change of the solitons can occur due to the various values of the integration constants and ion streaming velocities. Finally, it is important to note that the analytic solutions of the nonlinear equation, reported in this study, could be used to explain the structures of solitons in the astrophysical space and in laboratory plasmas.

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“…On the other hand, the sinusoidal and rational solutions of plasma equations are also found and given in Eqs. (19), (20), (27), and (30).…”

Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 98%

Investigating the effect of integration constants and various plasma parameters on the dynamics of the soliton in different physical plasmas

Dağhan

Dönmez

2015

Physics of Plasmas

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“…In Sec. VII, we shall study the propagation of the two-soliton and the three-soliton waves of equation (18) using the Hirota's direct method 37 and the effect of the spectral index j on them.…”

Section: Exact Traveling Wave Solutionsmentioning

confidence: 99%

Dynamic behavior of ion acoustic waves in electron-positron-ion magnetoplasmas with superthermal electrons and positrons

2014

Self Cite

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The dynamic behavior of ion acoustic waves in electron-positron-ion magnetoplasmas with superthermal electrons and positrons has been investigated in the framework of perturbed and non-perturbed Kadomtsev-Petviashili (KP) equations. Applying the reductive perturbation technique, we have derived the KP equation in electron-positron-ion magnetoplasma with kappa distributed electrons and positrons. Bifurcations of ion acoustic traveling waves of the KP equation are presented. Using the bifurcation theory of planar dynamical systems, the existence of the solitary wave solutions and the periodic traveling wave solutions has been established. Two exact solutions of these waves have been derived depending on the system parameters. Then, using the Hirota's direct method, we have obtained two-soliton and three-soliton solutions of the KP equation. The effect of the spectral index κ on propagations of the two-soliton and the three-soliton has been shown. Considering an external periodic perturbation, we have presented the quasi periodic behavior of ion acoustic waves in electron-positron-ion magnetoplasmas.

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“…Of particular interest is the interaction (collision) of IASWs with each other. The investigations were carried out both theoretically and experimentally in two-component electron-ion plasmas [1][2][3][4][5][6][7][8][9] and in multicomponent plasmas, which, in addition to positive ions and electrons, contain other components, such as negative ions, positrons or dust particles [10][11][12][13][14][15][16][17]. Analytical and numerical fluid models and kinetic approaches were used.…”

Section: Introductionmentioning

confidence: 99%

“…Of particular interest is the interaction (collision) of solitary waves with each other. The investigations were carried out in two-component electron-ion plasmas [1-8] and in multicomponent plasmas that contain, in addition to positive ions and electrons, other components such as negative ions, positrons or dust particles [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. A considerable number of papers were devoted to the study of plasmas with non-Maxwellian particle distributions [3,6,12,[16][17][18][19][20]22].…”

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confidence: 99%

Particle-in-cell simulation of the head-on collision of large amplitude ion-acoustic solitary waves in a collisionless plasma

Medvedev

2018

J. Phys. Commun.

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The head-on collision of ion-acoustic solitary waves in a collisionless plasma with cold ions and Boltzmann electrons is studied using the particle-in-cell (PIC) simulation. It is shown that solitary waves of sufficiently large amplitudes do not retain their identity after a collision. Their amplitudes decrease and their forms change. In the collision of solitary waves, accelerated ions are formed. The ion velocities can reach three speeds of sound. Dependences of amplitudes of the potential and densities of ions and electrons after a head-on collision of identical solitary waves on their initial amplitude are presented.

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Overtaking collision of two ion acoustic soliton in a plasma with a q-nonextensive electron and thermal positrons

Cited by 24 publications

References 48 publications

Investigating the effect of integration constants and various plasma parameters on the dynamics of the soliton in different physical plasmas

Investigating the effect of integration constants and various plasma parameters on the dynamics of the soliton in different physical plasmas

Dynamic behavior of ion acoustic waves in electron-positron-ion magnetoplasmas with superthermal electrons and positrons

Particle-in-cell simulation of the head-on collision of large amplitude ion-acoustic solitary waves in a collisionless plasma

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