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Nonlinear Waves and Solitons on Contours and Closed Surfaces
Paperback
Series: Springer Synergetics
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ISBN13: 9783642440519
Publisher: Springer Nature
Published: Feb 22 2014
Pages: 490
Weight: 1.54
Height: 1.10 Width: 6.10 Depth: 9.00
Language: English
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.
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