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Nonlinear Waves and Solitons on Contours and Closed Surfaces

The present 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 introduce...

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Detalles Bibliográficos
Autor principal: Ludu, Andrei
Lenguaje:eng
Publicado: Springer 2007
Materias:
XX
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-72873-3
http://cds.cern.ch/record/1339118
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author Ludu, Andrei
author_facet Ludu, Andrei
author_sort Ludu, Andrei
collection CERN
description The present 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. Emphasis on the 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. Nonlinear Waves and Solitons on Contours and Closed Surfaces provides graduate students and researchers in mathematics, physics and engineering with a ready tutorial and reference
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institution Organización Europea para la Investigación Nuclear
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spelling cern-13391182021-04-22T01:01:07Zdoi:10.1007/978-3-540-72873-3http://cds.cern.ch/record/1339118engLudu, AndreiNonlinear Waves and Solitons on Contours and Closed SurfacesXXThe present 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. Emphasis on the 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. Nonlinear Waves and Solitons on Contours and Closed Surfaces provides graduate students and researchers in mathematics, physics and engineering with a ready tutorial and referenceSpringeroai:cds.cern.ch:13391182007
spellingShingle XX
Ludu, Andrei
Nonlinear Waves and Solitons on Contours and Closed Surfaces
title Nonlinear Waves and Solitons on Contours and Closed Surfaces
title_full Nonlinear Waves and Solitons on Contours and Closed Surfaces
title_fullStr Nonlinear Waves and Solitons on Contours and Closed Surfaces
title_full_unstemmed Nonlinear Waves and Solitons on Contours and Closed Surfaces
title_short Nonlinear Waves and Solitons on Contours and Closed Surfaces
title_sort nonlinear waves and solitons on contours and closed surfaces
topic XX
url https://dx.doi.org/10.1007/978-3-540-72873-3
http://cds.cern.ch/record/1339118
work_keys_str_mv AT luduandrei nonlinearwavesandsolitonsoncontoursandclosedsurfaces