الفهرس 
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Abstract
A theoretical study of propagation of nonlinear ion acoustic waves in multicomponent degenerate plasma has been considered a potential scope for the research work in this thesis. For doing such studies we have considered some models under different physical situations that occur in space and astrophysical plasmas. The work is presented in three chapters.
The first chapter contains a general introduction to the subject of the thesis. The chapter begins with a short narration of plasma, definition and its general characteristics. As the thrust area of research work is multicomponent degenerate plasma, a note on quantum degenerate plasma has been presented, its properties and applications in different fields and importance of the study have also been discussed.
In the second chapter, bifurcation analysis of ion-acoustic solitary, periodic and superperiodic waves has been investigated in degenerate ultra-relativistic plasma composed of degenerate inertial cold positive ions, ultra-relativistic degenerate inertialess electrons and positrons.
In the third chapter, we have considerd a degenerate ultrarelativistic plasma composed of ultrarelativistic degenerate inertialess electrons and positrons in addition to non-degenerate inertial cold positive and negative ions. Bifurcation analysis of IA periodic, solitary and superperiodic waves was examined. All potential phase charts, including periodic, homoclinic, and superperiodic trajectories, have been successfully displayed using bifurcation analysis of the dynamical system.
Thus, in the present work we have investigated the propagation of nonlinear and super-nonlinear ion acoustic waves in multicomponent degenerate plasmas. The results obtained in the present work are useful to understand the various properties of nonlinear ion-acoustic periodic and superperiodic waves in dense objects like white dwarfs and neutron stars. The various results obtained may be applied in a wider view for further research.