Bifurcation analysis of ion-acoustic waves in an adiabatic trapped electron and warm ion plasma

Abstract

Bifurcation analysis of ion-acoustic waves in complex plasmas in the presence of adiabatic trapped electrons and warm ions is studied. Using bifurcation theory of dynamical structure, the Hamiltonian system inculpated electrostatic potential is derived. Effects of physical parameters, such as T and $\sigma _{i} $, are shown on the analytical solitary wave solution. The numerical results show that parameters T and $\sigma _{i} $ affect significantly on nonlinear electrostatic solitary waves. By adding an external periodic perturbation to unperturbed Hamiltonian system, we investigate quasiperiodic structure of the perturbed Hamiltonian system.

Keywords

• ion-acoustic solitary wave
• adiabatic trapped electron
• phase plot
• bifurcation theory