Applied Mathematical Sciences, Volume 138 1000. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists. Closed Surface Flow, Ergodic Measure, Irrational Rotation Algebra. The purpose of this book is to promote the transfer of information between the various communities concerned with nonlinear waves.
Special attention is paid to the phenomenon of self-focusing and wave collapse.
Various approaches ranging from rigorous mathematical analysis to formal asymptotic expansions and numerical simulations are presented. Graduate students and researchers in the fields of pure and applied mathematics, nonlinear optics, plasma physics, hydrodynamics, and magnetohydrodynamics will find this book useful. This volume contains a number of mini-review articles authored by speakers and attendees at the IMA workshop on Pattern Formation in Continuous and Coupled Systems. The reviews in this volume are intended to be pointers to the current literature for researchers at all levels and therefore include extensive bibliographies. This book is intended for an audience of researchers and graduate students from stochastics as well as dynamics.