Head-on collision of dust acoustic solitary waves with variable dust charge and two temperature ions in an unmagnetized plasma

Abstract

The head-on collision of dust acoustic solitary waves (DASWs) in an unmagnetized dusty plasma with single electrons, two-temperature ions, variable dust charge is investigated using the extended Poincaré-Lighthill-Kuo (PLK) method. The effects of the dust charge fluctuation and two temperature ion are studied. It is found that the dust charge fluctuation and two temperature ion have the significant role on the phase shift.

Effect of non-extensivity during the collision between inward and outward ion acoustic solitary waves in cylindrical and spherical geometry

“…In other words, the generalized entropy of the whole is greater than the sum of the entropies of the parts if q < 1 (superextensivity) whereas the generalized entropy of the system is smaller than the sum of the entropies of the parts if q > 1 (subextensivity). In accordance with the evidences (Lima et al 2000;Leubner 2008;Tribeche and Merriche 2011;Ghosh 2012Ghosh , 2012aYasmin et al 2012) the q-entropy may provide a convenient frame for the analysis of many astrophysical scenarios, such as stellar polytropes, solar neutrino problem, and peculiar velocity distribution of galaxy cluster. It may be noted that for q < −1, the qdistribution is unnormalizable.…”

“…The other type of interaction concerns two solitary waves which propagate in opposite directions and undergo a quasi-elastic head-on collision (Zabusky and Kruskal 1965;Su and Miura 1980) which modifies the trajectories of motion. The variation of phase shift and the trajectories of the two solitary waves after collision were studied by a remarkable number of researchers (Xue 2004a, b;Chatterjee et al 2010;Ghosh et al 2011Ghosh et al , 2012aKundu et al 2012) by using the extended version of Poincaré-Lighthill-Kuo (PLK) method.…”

Singular solitons interaction of dust ion acoustic waves in the framework of Korteweg de Vries and Modified Korteweg‐de Vries equations with (r,q) distributed electrons

“…Nonlinear features in theoretical physics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] associated with fluid mechanics, solid-state physics, plasma physics, optical fibres, biophysics, chemical kinematics, chemical physics, and geochemistry are revealed through framing mathematical models, derive nonlinear evolution equations (NLEEs), and getting its solutions.…”

“…The omnipresence of dust particles in the solar system and space plasmas [1][2][3][4][5][6][7][8][9][10][11][12][13] has given birth to an important and engrossing research field, called dusty plasma. The basic difference between dusty plasmas and ordinary plasmas may be pointed out based on the presence of dust grains charge in plasma.…”

Variable dust charge generates a special type of nonlinear structures through modified Gardner equations

“…They brought a successful investigation to the plasma research field using the parameter regime of Barken et al [27] experiments. All the basic parameters are taken by Xie et al [26] and Barken et al, [27] like dust grains radius, densities of ions, dust grains, plasma speed, frequency, debye length are strongly acknowledged by Goertz [7] and Whipple et al [8] A great deal of attention has been given by so many researchers [28][29][30][31] to investigate the various nonlinear phenomenon in dusty plasma incorporating dust charge variation.…”