الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
The effects of trapped ions concentration on the dynamics of dust-acoustic (DA) solitary and periodic travelling waves in dusty plasmas including dust fluid, trapped ions, and Maxwellian electrons have been investigated. In our work we have studied the physical nature of DA solitary and periodic travelling waves in our plasma model through two ways. Analytical by using the reductive perturbation method, Korteweg de Vries (KdV) type equation is derived from one hand, and numerically using Mathematica simulation from the other hand. Also, other significant highlights, the dynamics of solitary and periodic travelling waves are modified due to the presence of the trapped ions concentration. On the other hand, a bifurcation analysis of the Hamiltonian system is applied to demonstrate the probability of the presence of DA solitary and periodic travelling waves for the KdV type equation Furthermore, the KdV type equation is transformed into a planar dynamical system by applying the travelling wave transformation. Finally, the qualitative phase portrait for the corresponding dynamical system is found to be controlled by the system parameters. It is found that, the nonlinear features of DA solitary and periodic travelling waves are modified due to ions trapped concentration in astrophysical environments such as Saturn’s moon Enceladus.