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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2012.
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| Edición: | 2nd ed. 2012. |
| Colección: | Springer Series in Synergetics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-642-22895-7 | ||
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| 100 | 1 | |a Ludu, Andrei. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Nonlinear Waves and Solitons on Contours and Closed Surfaces |h [electronic resource] / |c by Andrei Ludu. |
| 250 | |a 2nd ed. 2012. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2012. | |
| 300 | |a XVIII, 490 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Series in Synergetics, |x 2198-333X | |
| 505 | 0 | |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. | |
| 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. | ||
| 650 | 0 | |a Nonlinear Optics. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Continuum mechanics. | |
| 650 | 0 | |a Soft condensed matter. | |
| 650 | 0 | |a Surfaces (Physics). | |
| 650 | 1 | 4 | |a Nonlinear Optics. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Continuum Mechanics. |
| 650 | 2 | 4 | |a Soft and Granular Matter. |
| 650 | 2 | 4 | |a Surface and Interface and Thin Film. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642228940 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642440519 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642228964 |
| 830 | 0 | |a Springer Series in Synergetics, |x 2198-333X | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-22895-7 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||