Multidimensional nonlinear ion-acoustic waves in a weakly relativistic plasma

2^nd International Conference on Astrophysics and Particle Physics

November 13-15, 2017 San Antonio, USA

Vasily Yu Belashov

Kazan Federal University, Russia

Scientific Tracks Abstracts: J Astrophys Aerospace Technol

Abstract :

The structure and dynamics of the multidimensional nonlinear ion-acoustic waves in unmagnetized plasma including the case of collisional weakly relativistic plasma when it is necessary to take into account the high energy flows of particles are studied analytically and numerically on the base of the Kadomtsev-Petviashvili (KP) equation generalized by introducing the relativistic factor u/c, when the coefficients at nonlinear and dispersive terms are defined by this ratio. In particular, when kinetic energy of the ions at u0/c ~ 0.1 reaches values of ~ 4.7MeV, the 2D weakly relativistic ion-acoustic solitary waves describe a motion of energetic protons with speed approaching to speed of light, that is observed in the magnetospheric plasma. It is shown that if a speed of particles in plasma reaches speed of light then the relativistic effects at propagation of the 2D solitary ion-acoustic wave start to play rather essential role and influence phase velocity, amplitude and characteristic sizes of 2D wave. Obtained results include more simple limited cases which were considered by other authors, but they are essentially more general. The results obtained can be useful at study of nonlinear wave processes in the magnetosphere. They also have obvious applications in such physical systems as laser plasma and astrophysics (including compact astrophysical systems, for example, white dwarfs).

Biography :

Prof. Vasily Yu. Belashov, PhD (Radiophysics), DSci (Physics and Mathematics). Main fields: theory and numerical simulation of the dynamics of multi-dimensional nonlinear waves, solitons and vortex structures in plasmas and other dispersive media. Presently, he is Chief Scientist at the Kazan Federal University. He is author of 288 publications including 6 monographs. Main books: Solitary Waves in Dispersive Complex Media. Theory, Simulation, Applications. Springer-Verlag GmbH, 2005; The KP Equation and its Generalizations. Theory and Applications. Magadan, NEISRI FEB RAS, 1997.