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Nonlinear propagation properties of ion-acoustic solitary and rogue waves are investigated with the use of a quantum plasma model composed of degenerate (Fermi) positrons and electrons gas with negative and positive ions as classical fluid gas. The Korteweg-de Vries equation is derived using the reductive perturbation technique to study its solitary solution. The nonlinear Schrödinger equation has been transformed from the Korteweg-de Vries equation and its rational solution describes the rogue wave. The ion-acoustic rogue and solitary waves have been numerically analyzed to examine the effects of the plasma parameters on the phase velocity and the behavior of the solitary and rogue waves. Negative ions density and mass, in addition to the density and temperature of the Fermi positrons and electrons, are checked. The results of this study can be applied in the dense (quantum) plasma in technological applications and astrophysics, such as in magnetars corona and white dwarfs. [ABSTRACT FROM AUTHOR]

The nonlinear solitary and freak waves in a plasma composed of positive and negative ions, superthermal electrons, ion beam, and stationary dust particles have been investigated. The reductive perturbation method is used to obtain the Korteweg-de Vries (KdV) equation describing the system. The latter admits solitary wave solution, while the dynamics of the modulationally unstable wavepackets described by the KdV equation gives rise to the formation of freak/rogue excitation described by the nonlinear Schrödinger equation. In order to show that the characteristics of solitary and freak waves are influenced by plasma parameters, relevant numerical analysis of appropriate nonlinear solutions are presented. The results from this work predict nonlinear excitations that may associate with ion jet and superthermal electrons in Herbig–Haro objects. [ABSTRACT FROM AUTHOR]

It is shown that solitary and freak waves can propagate in a dusty plasma composed of positive and negative ions, as well as nonextensive electrons. The evolution of the solitary waves is described by the Korteweg-de Vries (KdV) equation. However, when the frequency of the carrier wave is much smaller than the ion plasma frequency then the KdV equation is also used to study the nonlinear evolution of modulationally unstable modified ion-acoustic wavepackets through the derivation of the nonlinear Schrödinger (NLS) equation. In order to show that the characteristics of the solitary and freak waves are influenced by the plasma parameters, the relevant numerical analysis of the appropriate nonlinear solutions is presented. The relevance of the present investigation to nonlinear waves in astrophysical plasma environments is discussed. [ABSTRACT FROM AUTHOR]