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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.
Physics. --- Atoms and Molecules in Strong Fields, Laser Matter Interaction. --- Physique --- Plasma (Ionized gases) --- Nonlinear theories --- Nonlinear problems --- Nonlinearity (Mathematics) --- Gaseous discharge --- Gaseous plasma --- Magnetoplasma --- Calculus --- Mathematical analysis --- Mathematical physics --- Ionized gases --- Nonlinear theories. --- Solitons. --- High temperature plasmas. --- Atoms. --- Matter. --- Atoms --- Dynamics --- Gravitation --- Physics --- Substance (Philosophy) --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Constitution
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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.
Solitons --- Energy dissipation --- Dissipation d'énergie --- Quantum Theory --- Biology --- Optics and Photonics --- Nuclear Physics --- Physics --- Engineering --- Biological Science Disciplines --- Natural Science Disciplines --- Technology, Industry, and Agriculture --- Disciplines and Occupations --- Technology, Industry, Agriculture --- Atomic Physics --- Physical Sciences & Mathematics --- Solitons. --- Energy dissipation. --- Dissipation d'énergie --- EPUB-LIV-FT LIVPHYSI SPRINGER-B --- Degradation, Energy --- Dissipation (Physics) --- Energy degradation --- Energy losses --- Losses, Energy --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Physics. --- Neurobiology. --- Applied mathematics. --- Engineering mathematics. --- Quantum optics. --- Lasers. --- Photonics. --- Laser Technology, Photonics. --- Quantum Optics. --- Applications of Mathematics. --- Force and energy --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of --- Mathematics. --- Optics, Lasers, Photonics, Optical Devices. --- Math --- Science --- Neurosciences --- Engineering analysis --- Mathematical analysis --- Optics --- Photons --- Quantum theory --- New optics --- Light amplification by stimulated emission of radiation --- Masers, Optical --- Optical masers --- Light amplifiers --- Light sources --- Optoelectronic devices --- Nonlinear optics --- Optical parametric oscillators --- Mathematics
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