Nonlinear Dynamics of Ion Acoustic Solitary and Rogue Waves in Dense Quantum Plasmas |
| U.M. Abdelsalama, b
aDepartment of Mathematics, Faculty of Science, Fayoum University, Egypt bDepartment of Mathematics, University of Technology and Applied Sciences, Al Rustaq, Oman |
| Full Text PDF |
| 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. |
DOI:10.12693/APhysPolA.139.634 topics: acoustic waves, rogue waves, KdV equation, dense plasma |