TY - BOOK ID - 19495756 TI - Nonlinear waves and solitons on contours and closed surfaces PY - 2011 SN - 3642440517 3642228941 364222895X 1280399821 9786613577740 PB - New York : Springer, DB - UniCat KW - Nonlinear waves KW - Solitons KW - Compact spaces. KW - Mathematics. KW - Spaces, Compact KW - Physics. KW - Differential geometry. KW - Fluids. KW - Amorphous substances. KW - Complex fluids. KW - Surfaces (Physics). KW - Interfaces (Physical sciences). KW - Thin films. KW - Statistical physics. KW - Nonlinear Dynamics. KW - Differential Geometry. KW - Mathematical Methods in Physics. KW - Fluid- and Aerodynamics. KW - Soft and Granular Matter, Complex Fluids and Microfluidics. KW - Surface and Interface Science, Thin Films. KW - Topological spaces KW - Pulses, Solitary wave KW - Solitary wave pulses KW - Wave pulses, Solitary KW - Connections (Mathematics) KW - Nonlinear theories KW - Wave-motion, Theory of KW - Waves KW - Global differential geometry. KW - Mathematical physics. KW - Applications of Nonlinear Dynamics and Chaos Theory. KW - Physical mathematics KW - Physics KW - Geometry, Differential KW - Mathematics KW - Films, Thin KW - Solid film KW - Solid state electronics KW - Solids KW - Surfaces (Technology) KW - Coatings KW - Thick films KW - Surface chemistry KW - Surfaces (Physics) KW - Complex liquids KW - Fluids, Complex KW - Amorphous substances KW - Liquids KW - Soft condensed matter KW - Hydraulics KW - Mechanics KW - Hydrostatics KW - Permeability KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics KW - Differential geometry KW - Mathematical statistics KW - Statistical methods UR - https://www.unicat.be/uniCat?func=search&query=sysid:19495756 AB - This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering. This new edition has been thoroughly revised, expanded and updated. ER -