euro-optics-plasma-science-2018-posters

Laser Optics & Photonics and Atomic & Plasma Science 2018

J u l y 1 6 - 1 7 , 2 0 1 8

P r a g u e , C z e c h R e p u b l i c

Page 99

American Journal of Computer Science and Information Technology

ISSN: 2349-3917

E u r o S c i C o n J o i n t E v e n t o n

Laser Optics & Photonics and

Atomic & Plasma Science

he structure and stability of the multidimensional nonlinear waves and solitons forming on the low-frequency branch of

oscillations in complex continuous medium with dispersion, such as plasmas, are studied analytically on the basis of the

Belashov-Karpman (BK) system which includes the Kadomtsev-Petviashvili and derivative nonlinear Schrodinger classes of

equa-tions and takes into account the generalizations relevant to various complex physical media, associated with the effects

of high-order dispersion corrections, influence of dissipation and instabilities. This is consistent representation of the both

early known and new original results obtained by author and also some generalizations in theory of the nonlinear waves and

solitons in complex dispersive media. The analysis of stability of solutions is based on study of transformational properties of the

Hamiltonian of the system. The structure of possible multidimensional solutions is investigated using the methods of qualitative

analysis of proper dynamical systems and analysis of the solutions’ asymptotics. As a result, we have constructed a classification

of possible solutions for the BK system and have obtained the conditions of existence of the 2D and 3D soliton solutions in

this system. Some applications of obtained results in plasmas (for the fast magnetosonic (FMS) and Alfvén waves, and for the

internal gravity waves at heights of the F-layer of the ionosphere) are considered.

Structure and stability on multidimensional

nonlinear waves in space plasma

Vasily Yu Belashov

, Elena S Belashova

and Oleg A

Kharshiladze

Institute of Physics, Kazan Federal University, Russia

Institute for Computer Technologies and Information Protection, Kazan National Research

Technical University named after A.N. Tupolev - KAI, Russia

Ivane Javakhishvili Tbilisi State University, M Nodia Institute of Geophysics, Georgia

Am J Compt Sci Inform Technol 2018, Volume 6

DOI: 10.21767/2349-3917-C1-003