Nonlinear Waves and Singularities in Optics, Hydrodynamics and Plasmas

摘要

Waves dynamics is one of the most interesting and appealing problems in applied mathematics and physics. We encounter waves in all areas of our everyday lives, from waves on the surface of a lake or a pool and sound waves to the electromagnetic waves propagation in ionosphere and plasma excitations on the sun. In wast majority of interesting cases the problem of wave propagation can be solved not only in the linear approximation but also with nonlinear effects taken into account, due to powerful tools of modern applied mathematics and theoretical physics. These approaches together with rapidly emerging computational power leads to new amazing advances in the study of waves dynamics in different media. Common approaches stimulate intensive interchange of ideas in the field which accelerates the development of the wave dynamics even further. Our minisymposium is devoted to new advances in the theory of waves and demonstrates vividly the similarity of approaches in a broad spectrum of important applications.