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Nonlinear Waves and Solitons on Contours and Closed Surfaces

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Cover of 'Nonlinear Waves and Solitons on Contours and Closed Surfaces'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Mathematical Prerequisites
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    Chapter 3 The Importance of the Boundary
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    Chapter 4 Vector Fields, Differential Forms, and Derivatives
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    Chapter 5 Geometry of Curves
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    Chapter 6 Geometry of Surfaces
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    Chapter 7 Motion of Curves and Solitons
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    Chapter 8 Theory of Motion of Surfaces
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    Chapter 9 Kinematics of Hydrodynamics
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    Chapter 10 Dynamics of Hydrodynamics
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    Chapter 11 Nonlinear Surface Waves in One Dimension
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    Chapter 12 Nonlinear Surface Waves in Two Dimensions
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    Chapter 13 Nonlinear Surface Waves in Three Dimensions
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    Chapter 14 Other Special Nonlinear Compact Systems
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    Chapter 15 Filaments, Chains, and Solitons
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    Chapter 16 Solitons on the Boundaries of Microscopic Systems
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    Chapter 17 Nonlinear Contour Dynamics in Macroscopic Systems
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    Chapter 18 Mathematical Annex
Attention for Chapter 8: Theory of Motion of Surfaces
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