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This book is devoted to one of the most interesting and rapidly developing areas of modern nonlinear physics and mathematics - the theoretical, analytical and advanced numerical, study of the structure and dynamics of one-dimensional as well as two- and three-dimensional solitons and nonlinear waves described by Korteweg-de Vries (KdV), Kadomtsev-Petviashvili (KP), nonlinear Schrödinger (NLS) and derivative NLS (DNLS) classes of equations. Special attention is paid to generalizations (relevant to various complex physical media) of these equations, accounting for higher-order dispersion corrections, influence of dissipation, instabilities, and stochastic fluctuations of the wave fields. The book addresses researchers working in the theory and numerical simulations of dispersive complex media in such fields as hydrodynamics, plasma physics, and aerodynamics. It will also be useful as a reference work for graduate students in physics and mathematics.

Solitons. --- Differential equations, Nonlinear. --- Nonlinear differential equations --- Nonlinear theories --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Wave-motion, Theory of --- Statistical physics. --- Condensed Matter Physics. --- Theoretical, Mathematical and Computational Physics. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Physics --- Mathematical statistics --- Statistical methods --- Condensed matter. --- Mathematical physics. --- Dynamical systems. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Physical mathematics --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids

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This book is devoted to one of the most interesting and rapidly developing areas of modern nonlinear physics and mathematics - the theoretical, analytical and advanced numerical, study of the structure and dynamics of one-dimensional as well as two- and three-dimensional solitons and nonlinear waves described by Korteweg-de Vries (KdV), Kadomtsev-Petviashvili (KP), nonlinear Schrödinger (NLS) and derivative NLS (DNLS) classes of equations. Special attention is paid to generalizations (relevant to various complex physical media) of these equations, accounting for higher-order dispersion corrections, influence of dissipation, instabilities, and stochastic fluctuations of the wave fields. The book addresses researchers working in the theory and numerical simulations of dispersive complex media in such fields as hydrodynamics, plasma physics, and aerodynamics. It will also be useful as a reference work for graduate students in physics and mathematics.

Mathematical physics --- Solid state physics --- Computer science --- neuronale netwerken --- wiskunde --- fysica

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Complex plasmas are dusty plasmas in which the density and electric charges of the dust grains are sufficiently high to induce long-range grain-grain interactions, as well as strong absorption of charged-plasma components. Together with the sources replenishing the plasma such systems form a highly dissipative thermodynamically open system that exhibits many features of collective behaviour generally found in complex systems. Most notably among them are self-organized patterns such as plasma crystals, plasma clusters, dust stars and further spectacular new structures. Beyond their intrinsic scientific interest, the study of complex plasmas grows in importance in a great variety of fields, ranging from space-plasma sciences to applied fields such as plasma processing, thin-film deposition and even the production of computer chips by plasma etching, in which strongly interacting clouds of complex plasmas can cause major contamination of the final product. Intended as first introductory but comprehensive survey of this rapidly emerging field, the present book addresses postgraduate students as well as specialist and nonspecialist researchers with a general background in either plasma physics, space sciences or the physics of complex systems.

Dusty plasmas. --- Plasma (Ionized gases) --- Gaseous discharge --- Gaseous plasma --- Magnetoplasma --- Ionized gases --- Dust plasma systems --- Plasmas, Dusty --- Dust --- Dusty plasmas --- Nuclear physics. --- Astrophysics. --- Atoms and Molecules in Strong Fields, Laser Matter Interaction. --- Nuclear Physics, Heavy Ions, Hadrons. --- Plasma Physics. --- Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). --- Complex Systems. --- Soft and Granular Matter, Complex Fluids and Microfluidics. --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Atomic nuclei --- Atoms, Nuclei of --- Nucleus of the atom --- Atoms. --- Physics. --- Heavy ions. --- Plasma (Ionized gases). --- Space sciences. --- Statistical physics. --- Dynamical systems. --- Amorphous substances. --- Complex fluids. --- Complex liquids --- Fluids, Complex --- Amorphous substances --- Liquids --- Soft condensed matter --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Science and space --- Space research --- Cosmology --- Science --- Ions --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Statistical methods --- Constitution

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Space research --- Astrophysics --- Fluid mechanics --- Plasma physics --- Atomic physics --- Computer science --- materie (fysica) --- astrofysica --- plasmafysica --- informatica --- ruimtevaart --- vloeistoffen