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Book
Nonlinear physics of plasmas
Authors: ---
ISBN: 9783642146947 9783642146930 3642146937 9786613003409 1283003406 3642146945 Year: 2010 Publisher: Heidelberg Springer

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Abstract

A nonlinearity is one of the most important notions in modern physics. A plasma is rich in nonlinearities and provides a variety of behaviors inherent to instabilities, coherent wave structures and turbulence. The book covers the basic concepts and mathematical methods, necessary to comprehend nonlinear problems widely encountered in contemporary plasmas, but also in other fields of physics and current research on self-organized structures and magnetized plasma turbulence. The analyses make use of strongly nonlinear models solved by analytical techniques backed by extensive simulations and available experiments. The text is written for senior undergraduates, graduate students, lecturers and researchers in laboratory, space and fusion plasmas.


Book
Dissipative solitons : from optics to biology and medicine
Authors: ---
ISBN: 9783540782179 3540782168 9783540782162 3540782176 Year: 2008 Volume: 751 Publisher: Berlin, Germany : Springer,

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Abstract

The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s, nonlinear dynamics theory, and Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples from optics, biology and medicine. These include laser systems, optical transmission lines, cortical networks, models of muscle contraction, localized vegetation structures and waves in brain tissues.

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