Day 1 :
Kazan Federal University, Russia
Time : 09:30-10:05
Vasily Yu Belashov has completed his PhD in Radiophysics and Doctor of Science in Physics and Mathematics. His main fi elds includes: 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 Professor in the Kazan Federal University. He was Coordinator of studies on the International Program Solar Terminator (1987-1992), and took part in Programs WITS/WAGS and STEP. He is author of 288 publications and 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.
This paper is devoted to one of the most interesting and rapidly developing areas of modern nonlinear physics and mathematics; the analytical and advanced numerical study of the structure and stability of two- and three-dimensional solitons in dispersive complex media described by the Belashov-Karpman (BK) system which includes the Kadomtsev-Petviashvili and derivative nonlinear Schrodinger classes of equations 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 and numerical simulation 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. Soliton interaction is studied numerically using especially developed numerical methods.
University of Science and Technology in Bydgoszcz, Poland
Keynote: Dynamic properties of particles
Time : 10:05:10:45
Georgi Shpenkov has completed his PhD in 1968 from Ioffe Physico-Technical Institute of RAS (Leningrad) and Dr.Sc degree in 1991 (Tomsk, RAS). He is currently a Retired Professor, and Honorary Member of the Russian Physical Society. He has published 9 books and more than 100 papers on different issues.
Considering a particle as a pulsating spherical object, and taking into account conditions on the boundary of its spherical shell, we have obtained the equation of exchange (interaction) with the surrounding field,
and solved it. In result we have found unknown earlier fundamental parameters characterizing behavior of the particles, as e.g. the fundamental frequency
inherent in the atomic and subatomic levels of the Universe, where
is the exchange charge of the electron, me is its assotiated mass. The fundamental frequency e is responsible for the exchange (interaction) of atoms and molecules at the atomic and subatomic levels, defines energy and the length of interatomic bindings, etc.