Amplitude modulation of three-dimensional low-frequency solitary waves in a magnetized dusty superthermal plasma

محورهای موضوعی : Journal of Theoretical and Applied Physics

Shalini ¹ , A. P. Misra ² , N. S. Saini ³

1 - Department of Physics, Guru Nanak Dev University
2 - Department of Mathematics, Siksha Bhavana, Visva-Bharati University
3 - Department of Physics, Guru Nanak Dev University

تاریخ انتشار : 1396/06/10

کلید واژه: Modulational instability, NLS equation, Superthermal plasma, Dusty plasma, Solitary wave,

چکیده مقاله :

AbstractThe amplitude modulation of three-dimensional (3D) dust ion-acoustic wave (DIAW) packets is studied in a collisionless magnetized plasma with inertial positive ions, superthermal electrons and negatively charged immobile dust grains. By using the reductive perturbation technique, a 3D-nonlinear Schrödinger equation is derived, which governs the slow modulation of DIAW packets. The latter are found to be stable in the low-frequency (ωomega _{ ext {c}}$$end{document}, and the modulational instability is related to the modulational obliqueness (θ)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$( heta )$$end{document}. Here, ω(ωc)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$omega ~(omega _{ ext {c}})$$end{document} is the nondimensional wave (ion-cyclotron) frequency. It is shown that the superthermal parameter κdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$kappa$$end{document}, the frequency ωcdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$omega _{ ext {c}}$$end{document} as well as the charged dust impurity (0