中国物理B ›› 2011, Vol. 20 ›› Issue (2): 25202-025202.doi: 10.1088/1674-1056/20/2/025202

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Propagation and interaction of ion–acoustic solitary waves in a quantum electron–positron–ion plasma

韩久宁, 罗均华, 孙桂华, 刘振来, 李守义   

  1. Department of Physics, Hexi University, Zhangye 734000, Gansu Province, China
  • 收稿日期:2010-07-24 修回日期:2010-09-13 出版日期:2011-02-15 发布日期:2011-02-15
  • 基金资助:
    Project supported by the Research Foundation for Young Teachers of Hexi University, China (Grant No. QN-201004).

Propagation and interaction of ion–acoustic solitary waves in a quantum electron–positron–ion plasma

Han Jiu-Ning(韩久宁)†,Luo Jun-Hua(罗均华),Sun Gui-Hua(孙桂华), Liu Zhen-Lai(刘振来),and Li Shou-Yi(李守义)   

  1. Department of Physics, Hexi University, Zhangye 734000, Gansu Province, China
  • Received:2010-07-24 Revised:2010-09-13 Online:2011-02-15 Published:2011-02-15
  • Supported by:
    Project supported by the Research Foundation for Young Teachers of Hexi University, China (Grant No. QN-201004).

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摘要： This paper discusses the existence of ion--acoustic solitary waves and their interaction in a dense quantum electron--positron--ion plasma by using the quantum hydrodynamic equations. The extended Poincar'e--Lighthill--Kuo perturbation method is used to derive the Korteweg-de Vries equations for quantum ion--acoustic solitary waves in this plasma. The effects of the ratio of positrons to ions unperturbation number density p and the quantum diffraction parameter He (Hp) on the newly formed wave during interaction, and the phase shift of the colliding solitary waves are studied. It is found that the interaction between two solitary waves fits linear superposition principle and these plasma parameters have significantly influence on the newly formed wave and phase shift of the colliding solitary waves. The investigations should be useful for understanding the propagation and interaction of ion--acoustic solitary waves in dense astrophysical plasmas (such as white dwarfs) as well as in intense laser-solid matter interaction experiments.

关键词: quantum plasma, ion--acoustic solitary wave, Korteweg-de Vries equation, interaction

Abstract: This paper discusses the existence of ion–acoustic solitary waves and their interaction in a dense quantum electron–positron–ion plasma by using the quantum hydrodynamic equations. The extended Poincaré–Lighthill–Kuo perturbation method is used to derive the Korteweg-de Vries equations for quantum ion–acoustic solitary waves in this plasma. The effects of the ratio of positrons to ions unperturbation number density p and the quantum diffraction parameter He (Hp) on the newly formed wave during interaction, and the phase shift of the colliding solitary waves are studied. It is found that the interaction between two solitary waves fits linear superposition principle and these plasma parameters have significantly influence on the newly formed wave and phase shift of the colliding solitary waves. The investigations should be useful for understanding the propagation and interaction of ion–acoustic solitary waves in dense astrophysical plasmas (such as white dwarfs) as well as in intense laser-solid matter interaction experiments.

Key words: quantum plasma, ion–acoustic solitary wave, Korteweg-de Vries equation, interaction

中图分类号:  (Basic studies of specific kinds of plasmas)

  • 52.27.-h
52.35.Fp (Electrostatic waves and oscillations (e.g., ion-acoustic waves)) 52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))