Abstract
The propagation of ion acoustic waves(IAWs) in plasmas composed of ions and nonextensive electrons and positrons is investigated. By means of the reduction perturbation technique, a nonlinear Schrödinger equation is derived and the modulation instability (MI) of ion acoustic waves is analyzed in detail. The effects of different ranges of the nonextensive parameter q on the MI are studied. The growth rate of the MI is also given for different values of the q parameter. It is also found that the ratio of the electron temperature to positron temperature and the ratio of the positron density to electron density modify the nature of IAWsinstability and the solitary structures.
I. INTRODUCTION
II. BASIC EQUATIONS AND DERIVATION OF THE NLS EQUATION
III. MODULATION INSTABILITY AND SOLITONS
IV. CONCLUSION
Key Topics
 Plasma waves
 21.0
 Electrostatic waves
 19.0
 Positrons
 15.0
 Magnetospheric plasmas
 12.0
 Plasma instabilities
 9.0
Figures
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of nonextensive parameter q with p = 0.1 and . Solid curve corresponds to q = −0.9, dashed curve to q = −0.6, and dotted curve to q = −0.3.
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of nonextensive parameter q with p = 0.1 and . Solid curve corresponds to q = −0.9, dashed curve to q = −0.6, and dotted curve to q = −0.3.
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of nonextensive parameter q with p = 0.1 and . Solid curve corresponds to q = 1, dashed curve to q = 2, and dotted curve to q = 3.
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of nonextensive parameter q with p = 0.1 and . Solid curve corresponds to q = 1, dashed curve to q = 2, and dotted curve to q = 3.
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of p with q = 0.6 and . Solid curve corresponds to p = 0, dashed curve to p = 0.1, and dotted curve to p = 0.5.
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of p with q = 0.6 and . Solid curve corresponds to p = 0, dashed curve to p = 0.1, and dotted curve to p = 0.5.
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of p with q = −0.6 and . Solid curve corresponds to p = 0, dashed curve to p = 0.1, and dotted curve to p = 0.5.
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of p with q = −0.6 and . Solid curve corresponds to p = 0, dashed curve to p = 0.1, and dotted curve to p = 0.5.
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of with q = −0.5 and p = 0.1. Solid curve corresponds to , dashed curve to = 0.4, and dotted curve to .
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of with q = −0.5 and p = 0.1. Solid curve corresponds to , dashed curve to = 0.4, and dotted curve to .
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of with q = 2 and p = 0.1. Solid curve corresponds to , dashed curve to , and dotted curve to .
(Color online) Variation of the NLSE coefficients P/Q with the carrier wave number k for different values of with q = 2 and p = 0.1. Solid curve corresponds to , dashed curve to , and dotted curve to .
(Color online) Variation in growth rate against K for different values of q with p = 0.1 and . Solid curve corresponds to q = −0.9, dashed curve to q = −0.6, and dotted curve to q = −0.3.
(Color online) Variation in growth rate against K for different values of q with p = 0.1 and . Solid curve corresponds to q = −0.9, dashed curve to q = −0.6, and dotted curve to q = −0.3.
(Color online) Variation in growth rate against K for different values of q with p = 0.1 and . Solid curve corresponds to q = 1, dashed curve to q = 2, and dotted curve to q = 3.
(Color online) Variation in growth rate against K for different values of q with p = 0.1 and . Solid curve corresponds to q = 1, dashed curve to q = 2, and dotted curve to q = 3.
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