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

Alireza Abdikian, Asit Saha, Shirin Alimirzaei

2020Journal of Taibah University for Science40 citationsDOIOpen Access PDF

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 σi, are shown on the analytical solitary wave solution. The numerical results show that parameters T and σi 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.

Topics & Concepts

Quasiperiodic functionAdiabatic processIonPhysicsHamiltonian (control theory)BifurcationElectronBifurcation theoryPlasmaAtomic physicsNonlinear systemQuantum electrodynamicsClassical mechanicsQuantum mechanicsCondensed matter physicsMathematicsMathematical optimizationDust and Plasma Wave PhenomenaNonlinear Waves and SolitonsCold Atom Physics and Bose-Einstein Condensates
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