Bifurcation analysis of nonlinear and supernonlinear dust–acoustic waves in a dusty plasma using the generalized (<scp><i>r</i></scp>, <scp><i>q</i></scp>) distribution function for ions and electrons
R. M. Taha, Wael F. El‐Taibany
Abstract
Abstract Bifurcation analysis of dust acoustic (DA) periodic waves in three components, unmagnetized dusty plasma system is investigated using the generalized ( r , q ) distribution function for ions and electrons. Depending on the different parameters of the system considered, all possible phase portraits, including periodic, homoclinic, superperiodic, and superhomoclinic trajectories, are presented. The existence of rarefactive and compressive solitary waves is proved. Also, the plasma system under consideration supports both nonlinear and supernonlinear DA periodic waves. It has been found that the double spectral indices r and q play a decisive effect on the bifurcation of the waves.
Topics & Concepts
PhysicsDusty plasmaPhase portraitIonPlasmaElectronNonlinear systemDistribution functionBifurcationFunction (biology)Atomic physicsAcoustic waveQuantum mechanicsBiologyEvolutionary biologyDust and Plasma Wave PhenomenaIonosphere and magnetosphere dynamicsCold Atom Physics and Bose-Einstein Condensates