Nonlinear Waves and Solitons on Contours and Closed Surfaces

Authors:

ISBN: 978-3-642-22894-0 (Print) 978-3-642-22895-7 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xviii

  2. Mathematical Prerequisites

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-8

      Introduction

    3. No Access

      Book Chapter

      Pages 9-22

      Mathematical Prerequisites

    4. No Access

      Book Chapter

      Pages 23-29

      The Importance of the Boundary

    5. No Access

      Book Chapter

      Pages 31-77

      Vector Fields, Differential Forms, and Derivatives

    6. No Access

      Book Chapter

      Pages 79-95

      Geometry of Curves

    7. No Access

      Book Chapter

      Pages 97-130

      Geometry of Surfaces

    8. No Access

      Book Chapter

      Pages 131-158

      Motion of Curves and Solitons

    9. No Access

      Book Chapter

      Pages 159-176

      Theory of Motion of Surfaces

  3. Solitons and Nonlinear Waves on Closed Curves and Surfaces

    1. Front Matter

      Pages 177-178

    2. No Access

      Book Chapter

      Pages 179-221

      Kinematics of Hydrodynamics

    3. No Access

      Book Chapter

      Pages 223-257

      Dynamics of Hydrodynamics

    4. No Access

      Book Chapter

      Pages 259-288

      Nonlinear Surface Waves in One Dimension

    5. No Access

      Book Chapter

      Pages 289-308

      Nonlinear Surface Waves in Two Dimensions

    6. No Access

      Book Chapter

      Pages 309-372

      Nonlinear Surface Waves in Three Dimensions

    7. No Access

      Book Chapter

      Pages 373-381

      Other Special Nonlinear Compact Systems

  4. Physical Nonlinear Systems at Different Scales

    1. Front Matter

      Pages 383-383

    2. No Access

      Book Chapter

      Pages 385-410

      Filaments, Chains, and Solitons

    3. No Access

      Book Chapter

      Pages 411-443

      Solitons on the Boundaries of Microscopic Systems

    4. No Access

      Book Chapter

      Pages 445-466

      Nonlinear Contour Dynamics in Macroscopic Systems

    5. No Access

      Book Chapter

      Pages 467-474

      Mathematical Annex

  5. Back Matter

    Pages 475-489