Non-Linear Waves in Dispersive Media

International Series of Monographs in Natural Philosophy

V. I. Karpman, D. ter Haar

• Publisher: Pergamon
• Year: 2016
• Print ISBN:
  9780080177205
• eBook ISBN:
  9781483187150
• Topic: Physical Sciences
• Subtopic: Mechanics

Non-Linear Waves in Dispersive Media introduces the theory behind such topic as the gravitational waves on water surfaces. Some limiting cases of the theory, wherein proof of an asymptotic class is necessary and generated, are also provided. The first section of the book discusses the notion of linear approximation. This discussion is followed by some samples of dispersive media. Examples of stationary waves are also examined. The book proceeds with a discussion of waves of envelopes. The concept behind this subject is from the application of the methods of geometrical optics to non-linear theory. A section on non-linear waves with slowly varying parameters is given at the end of the book, along with a discussion of the evolution of electro-acoustic waves in plasma with negative dielectric permittivity. The gravitational waves on fluid surfaces are presented completely. The text will provide valuable information for physicists, mechanical engineers, students, and researchers in the field of optics, acoustics, and hydrodynamics.

Table of contents

• Front Cover
• Non-Linear Waves in Dispersive Media
• Copyright Page
• Table of Contents
• PREFACE
• INTRODUCTION
• Chapter 1. LINEAR APPROXIMATION
• Chapter 2. EXAMPLES OF DISPERSIVE MEDIA
• Chapter 3. NON-LINEAR STATIONARY WAVES
• Chapter 4. NON-LINEAR WAVES IN WEAKLY DISPERSIVE MEDIA
• Chapter 5. WAVES OF ENVELOPES
• APPENDIX A: NON-LINEAR WAVES WITH SLOWLY VARYING PARAMETERS (ADIABATIC APPROXIMATION OF WHITHAM)
• APPENDIX B: EVOLUTION OF ELECTRO-ACOUSTIC WAVES IN PLASMA WITH NEGATIVE DIELECTRIC PERMITTIVITY
• REFERENCES
• INDEX
• OTHER TITLES IN THE SERIES IN NATURAL PHILOSOPHY