中国物理B ›› 2017, Vol. 26 ›› Issue (9): 95203-095203.doi: 10.1088/1674-1056/26/9/095203

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇    下一篇

Interactions of ion acoustic multi-soliton and rogue wave with Bohm quantum potential in degenerate plasma

M S Alam, M G Hafez, M R Talukder, M Hossain Ali   

  1. 1 Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh;
    2 Plasma Science and Technology Lab, Department of Applied Physics and Electronic Engineering, University of Rajshahi, Rajshahi-6205, Bangladesh;
    3 Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong-4349, Bangladesh
  • 收稿日期:2017-03-25 修回日期:2017-06-18 出版日期:2017-09-05 发布日期:2017-09-05
  • 通讯作者: M S Alam, M G Hafez E-mail:alam21nov_2016@yahoo.com;golamhafez@yahoo.com

Interactions of ion acoustic multi-soliton and rogue wave with Bohm quantum potential in degenerate plasma

M S Alam1,3, M G Hafez1,3, M R Talukder2, M Hossain Ali1   

  1. 1 Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh;
    2 Plasma Science and Technology Lab, Department of Applied Physics and Electronic Engineering, University of Rajshahi, Rajshahi-6205, Bangladesh;
    3 Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong-4349, Bangladesh
  • Received:2017-03-25 Revised:2017-06-18 Online:2017-09-05 Published:2017-09-05
  • Contact: M S Alam, M G Hafez E-mail:alam21nov_2016@yahoo.com;golamhafez@yahoo.com

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摘要： This work investigates the interactions among solitons and their consequences in the production of rogue waves in an unmagnetized plasmas composing non-relativistic as well as relativistic degenerate electrons and positrons, and inertial non-relativistic helium ions. The extended Poincaré-Lighthill-Kuo (PLK) method is employed to derive the two-sided Korteweg-de Vries (KdV) equations with their corresponding phase shifts. The nonlinear Schrödinger equation (NLSE) is obtained from the modified KdV (mKdV) equation, which allows one to study the properties of the rogue waves. It is found that the Fermi temperature and quantum mechanical effects become pronounced due to the quantum diffraction of electrons and positrons in the plasmas. The densities and temperatures of the helium ions, degenerate electrons and positrons, and quantum parameters strongly modify the electrostatic ion acoustic resonances and their corresponding phase shifts due to the interactions among solitons and produce rogue waves in the plasma.

关键词: wave-wave interaction, rogue waves, degenerate plasmas, Bohm potential

Abstract: This work investigates the interactions among solitons and their consequences in the production of rogue waves in an unmagnetized plasmas composing non-relativistic as well as relativistic degenerate electrons and positrons, and inertial non-relativistic helium ions. The extended Poincaré-Lighthill-Kuo (PLK) method is employed to derive the two-sided Korteweg-de Vries (KdV) equations with their corresponding phase shifts. The nonlinear Schrödinger equation (NLSE) is obtained from the modified KdV (mKdV) equation, which allows one to study the properties of the rogue waves. It is found that the Fermi temperature and quantum mechanical effects become pronounced due to the quantum diffraction of electrons and positrons in the plasmas. The densities and temperatures of the helium ions, degenerate electrons and positrons, and quantum parameters strongly modify the electrostatic ion acoustic resonances and their corresponding phase shifts due to the interactions among solitons and produce rogue waves in the plasma.

Key words: wave-wave interaction, rogue waves, degenerate plasmas, Bohm potential

中图分类号:  (Relativistic plasmas)

  • 52.27.Ny
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.))