Head-on collision and overtaking collision between an envelope solitary wave and a KdV solitary wave in a dusty plasma

Abstract

Head-on collision and overtaking collision between a KdV solitary wave and an envelope solitary wave are first studied in present paper by using Particle-in-cell (PIC) method in a dusty plasma. There are phase shifts of the KdV solitary wave in both head-on collision and the overtaking collision, while no phase shift is found for the envelop solitary wave in any cases. The remarkable difference between head-on collision and the overtaking collision is that the phase shift of KdV solitary wave increases as amplitude of KdV solitary wave increases in head-on collision, while it decreases as amplitude of the KdV solitary wave increases in the overtaking collision. It is found that the maximum amplitude during the collision process is less than sum of two amplitudes of both solitary waves, but is larger than either of the amplitude.

Head-on collision of dust acoustic solitons in a nonextensive plasma with variable size dust grains of arbitrary charge

“…The solitary wave solutions of KdV equations (30) and (31) are the well-known "squared sech" solitons, which are given as…”

“…The head-on collision of DASs in a dusty plasma with Boltzmann distributed electrons, nonthermal ions, and dust grains with opposite polarity charge is studied by Ghosh et al [26]. Recently, Zhang et al [30] studied the head-on collision and the overtaking process between a Korteweg-de Vries (KdV) solitary wave and an envelope solitary wave in a dusty plasma using the particle-in-cell simulation method. In plasma experiments, two experimental observations [31,32] have been reported on the head-on collision of two counterpropagating solitons in plasma.…”

Dust ion‐acoustic solitons collision in weakly relativistic plasmas with superthermality‐distributed electrons and positrons: Higher‐order phase shifts

“…[11][12][13][14] In effect, the essential motivation for successive development in the investigation of a dusty plasma is in its wide applications in various scientific fields. [21][22][23][24][25][26][27][28] For example, Chatterjee and Ghosh [22] investigated the interaction of IASs in superthermal plasmas. Furthermore, under the effects of high-energy interaction, the light-charged particles compared to dust particles (such as electrons and positrons) in a plasma medium may earn relativistic energies.…”

“…Now, let us justify our proposed model. It is interesting to notice here that all the mentioned works [18][19][20][21][22][23][24][25][26][27][28] are restricted to derive the KdVEs and the change in the trajectory for small but finite amplitudes of IASs/DIASs after interactions. High-energy particles (i.e., electrons and positrons) produced as a result of stochastic heating processes when the pulsar relativistic wind collides with the ejecta of supernova explosion surrounding the pulsar.…”

Crossing of acoustic envelope solitary waves in homogeneous elastic rods: Experiments

“…Many theoretical works and few experimental studies have been devoted to the collision of these types of non-linear waves. Such head-on collisions were studied in water [10][11][12][13][14][15][16][17], in nonlinear dusty plasma [18][19][20][21][22], in rods [23][24][25][26][27] and in superimposed elastic thin films [28]. The objective of this letter is to experimentally investigate the collision of two transversally polarized envelope solitary waves propagating in opposite directions in polymethylmetacrylate (PMMA) rods and compare the experimental observations with those available for other laboratory conditions.…”