Open AccessInstability and interaction of the nonlinear solitary waves in two-temperature-ion dusty plasma
Author(s) -
Zhong Sheng-Ren
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.2178
Subject(s) - physics , korteweg–de vries equation , dusty plasma , soliton , amplitude , ion , plasma , nonlinear system , transverse plane , quantum electrodynamics , instability , electron , isothermal process , atomic physics , quantum mechanics , thermodynamics , structural engineering , engineering
For nonlinear dust acoustic waves in unmagnetized dusty plasma containing cold dust grains and isothermal electrons and ions, small but finite amplitude nonlinear waves are governed by the Korteweg de Veries (KdV) equation. For weakly two-dimensional dust acoustic solitary waves in a dusty plasma with variable dust charge and two-temperature ions, we obtain a Kadomtsev-Petviashvili equation under higher order transverse disturbances for this system. The interactions between two solitons and three solitons propagating in arbitrary directions are investigated. It is found that the maximum amplitude in the interaction region between two same——amplitude solitons is about four times that of a single soliton, while for three solitons the maximum amplitude is nine times that of a single soliton. It suggests that the transverse perturbations for the weakly nonlinear solitary waves in dusty plasma with variable dust charge and two-temperature ions are stable.