Head-on collision of dust-acoustic solitary waves in an adiabatic hot dusty plasma with external oblique magnetic field and two-temperature ions

Abstract

In the present paper, the characteristics of the head-on collision between two dust-acoustic solitary waves (DASWs) in an adiabatic dusty plasma consisting of variable negatively charged dust grains, isothermal electrons and two-temperature isothermal ions in the presence of an external oblique magnetic field are investigated. Using the extended Poincaré-Lighthill-Kuo (PLK) method, the Korteweg-de Vries (KdV) equations and the analytical phase shifts after the head-on collision of two solitary waves are derived. The effects of the magnetic field and its obliqueness, two different type of isothermal ions and the dust particles adiabaticity are discussed. It is found that these factors significantly affect the phase shifts.

Head—on collision of nonlinear dust—acoustic solitary waves in dusty plasmas with dust of opposite polarities

“…Whereas, for the rarefactive case, δ 3 when δ 3 < 0.6 has a significant effect on the phase shifts of DASWs after collision. Additionally, it is useful to compare our results with the results of El-Labany et al (2010) and Xue (2004). Therefore, the results of El-Labany et al (2010), for cold negative dust fluid and one ion component without external magnetic field, agree with the present results, for only one cold negatively charged dust particles.…”

Positron acoustic solitary waves interaction in a four-component space plasma

“…For a HOC between two solitary waves traveling to positive and negative directions, one must search their evolution and so he needs to employ a suitable asymptotic expansion to solve original fluid equations. There are a number of investigations for the HOC of two solitary waves in different plasma models using extended Pioncaré-LighthillKuo (PLK) method (Huang and Velarde 1996; Han et al 2008aHan et al , 2008bEl-Labany et al 2010a, 2010b. This method is a combination of the standard perturbation method with the technique of strained coordinates.…”

“…This makes a uniformly valid asymptotic expansion (i.e., eliminates secular terms) and at the same time obtains the change of the trajectories (i.e., phase shifts) of the solitary waves after their collision. Recently, there are researchers (Han et al 2008b;El-Shamy et al 2009;El-Labany et al 2010a, 2010bChatterjee et al 2010) who have used the PLK method to investigate HOC for two nonlinear solitary waves in various plasma combinations. For instance, Han et al (2008b) have studied the HOC of two ion-acoustic solitary waves in an EPI plasma.…”

Conservation law and exact solutions for ion acoustic waves in a magnetized quantum plasma

“…Recently numerous investigations have been made to observe the head-on collision of two, electron-acoustic [10][11], DA [12][13], DIA [14][15], IA [16][17] solitary waves. Few theoretical investigations have already been made by some researcher on magnetized as well as un magnetized quantum plasmas.…”