Vasily Yu Belashov
Kazan Federal University, Russia
Title: Multidimensional nonlinear ion-acoustic waves in a weakly relativistic plasma
Biography
Biography: Vasily Yu Belashov
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 that the relativistic effects at propagation of the 2D solitary ion-acoustic wave start to play rather essential role and influence on phase velocity, amplitude and characteristic sizes of 2D wave. Obtained results include simpler 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).