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Bifurcation analysis of dissipative rogue wave in electron-positron-ion plasma with relativistic ions and superthermal electrons

Author

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  • Shahein, R.A.
  • El-Shehri, Jawaher H.

Abstract

In this manuscript, a modified nonlinear Schrodinger equation (MNLSE) is derived for an unmagnetized collisionless three components plasma containing superthermal electrons, Boltzmann distribution of positrons and relativistic ions. By bifurcation of dynamical system, we determined the stable and unstable regions and predicted the kinds of solutions of MNLSE. This solutions reveal dark soliton in heteroclinic areas and rogue wave in unstable regions. A novel form of rogue wave is obtained also the effects of viscosity, superthermal electron κ, ratio of electron to positron temperature, ratio of ion to electron temperature and the density of positron are illustrated with some graphics in two-dimensional and three-dimensional. The derived results have numerous applications in plasma physics and it could be much importance in predicting and enriching rogue wave happening in dissipation plasma physics.

Suggested Citation

  • Shahein, R.A. & El-Shehri, Jawaher H., 2019. "Bifurcation analysis of dissipative rogue wave in electron-positron-ion plasma with relativistic ions and superthermal electrons," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 114-122.
    • Handle: RePEc:eee:chsofr:v:128:y:2019:i:c:p:114-122
    DOI: 10.1016/j.chaos.2019.07.041
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    References listed on IDEAS

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    1. Pakzad, Hamid Reza & Javidan, Kurosh, 2009. "Solitary waves in dusty plasmas with variable dust charge and two temperature ions," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2904-2913.
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