Slowly Varying Oscillations And Waves From Basics To Modernity
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Slowly Varying Oscillations And Waves: From Basics To Modernity
The beauty of the theoretical science is that quite different physical, biological, etc. phenomena can often be described as similar mathematical objects, by similar differential (or other) equations. In the 20th century, the notion of 'theory of oscillations' and later 'theory of waves' as unifying concepts, meaning the application of similar methods and equations to quite different physical problems, came into being. In the variety of applications (quite possibly in most of them), the oscillatory process is characterized by a slow (as compared with the characteristic period) variation of its parameters, such as the amplitude and frequency. The same is true for the wave processes.This book describes a variety of problems associated with oscillations and waves with slowly varying parameters. Among them the nonlinear and parametric resonances, self-synchronization, attenuated and amplified solitons, self-focusing and self-modulation, and reaction-diffusion systems. For oscillators, the physical examples include the van der Pol oscillator and a pendulum, models of a laser. For waves, examples are taken from oceanography, nonlinear optics, acoustics, and biophysics. The last chapter of the book describes more formal asymptotic perturbation schemes for the classes of oscillators and waves considered in all preceding chapters.
Waves And Wave Interactions In Plasmas
Author: Prasanta Chatterjee
language: en
Publisher: World Scientific
Release Date: 2022-12-19
This book is written in a lucid and systematic way for advanced postgraduates and researchers studying applied mathematics, plasma physics, nonlinear differential equations, nonlinear optics, and other engineering branches where nonlinear wave phenomena is essential.In sequential order of the book's development, readers will understand basic plasmas with elementary definitions of magnetized and unmagnetized plasmas, plasma modeling, dusty plasma and quantum plasma. Following which, the book describes linear and nonlinear waves, solitons, shocks and other wave phenomena, while solutions to common nonlinear wave equations are derived via standard techniques. Readers are introduced to elementary perturbation and non-perturbation methods. They will discover several evolution equations in different plasma situations as well as the properties of solitons in those environments. Pertaining to those equations, readers will learn about their higher order corrections, as well as their different forms and solutions in non-planar geometry. The book offers further studies on different types of collisions between solitons in plasma environment, phenomena of soliton turbulence as a consequence of multi-soliton interactions, properties of large amplitude solitary waves which are discovered via non-perturbative Sagdeev's Pseudopotential Approach, as well as the speed and shape of solitons. Finally, the book reveals possible future developments of research in this rich field.
Liquid Modernity
In this new book, Bauman examines how we have moved away from a 'heavy' and 'solid', hardware-focused modernity to a 'light' and 'liquid', software-based modernity. This passage, he argues, has brought profound change to all aspects of the human condition. The new remoteness and un-reachability of global systemic structure coupled with the unstructured and under-defined, fluid state of the immediate setting of life-politics and human togetherness, call for the rethinking of the concepts and cognitive frames used to narrate human individual experience and their joint history. This book is dedicated to this task. Bauman selects five of the basic concepts which have served to make sense of shared human life - emancipation, individuality, time/space, work and community - and traces their successive incarnations and changes of meaning. Liquid Modernity concludes the analysis undertaken in Bauman's two previous books Globalization: The Human Consequences and In Search of Politics. Together these volumes form a brilliant analysis of the changing conditions of social and political life by one of the most original thinkers writing today.