Nonlinear Waves and Solitons on Contours and Closed Surfaces

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 m...

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Päätekijä: Ludu, Andrei, 19..-
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: Berlin, Heidelberg : Springer Berlin Heidelberg 2012.
Cham : Springer Nature
Painos:2nd ed. 2012.
Sarja:Springer Series in Synergetics
Linkit:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Huomautus: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Nonlinear waves and solitons on contours and closed surfaces, Andrei Ludu, Second edition, Berlin, Springer, 2012, 1 vol. (XVIII-489 p.), Springer series in synergetics, 978-3-642-22894-0
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245 1 0 |a Nonlinear Waves and Solitons on Contours and Closed Surfaces   |c by Andrei Ludu. 
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505 1 |a Introduction Mathematical Prerequisites The Importance of the Boundary Vector Fields, Differential Forms, and Derivatives Geometry of Curves Motion of Curves and Solitons Geometry of Surfaces Theory of Motion of Surfaces Kinematics of Hydrodynamics Dynamics of Hydrodynamics Nonlinear Surface Waves in One-Dimension Nonlinear Surface Waves in Two-Dimensions Nonlinear Surface Waves in Three-Dimensions Other Special Nonlinear Compact Systems Filaments, Chains and Solitons Solitons on the Boundaries of Microscopic Systems Nonlinear Contour Dynamics in Macroscopic Systems Mathematical Annex References Index 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
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