Non-linear waves in dispersive media, (International series of monographs in natural philosophy)

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. Content: Front Matter , Page iii Copyright , Page iv Preface , Page vii Introduction , Pages ix-xi CHAPTER 1 - Linear approximation , Pages 1-7 CHAPTER 2 - Examples of dispersive media , Pages 8-36 CHAPTER 3 - Non-linear stationary waves , Pages 37-52 CHAPTER 4 - Non-linear Waves in Weakly Dispersive Media , Pages 53-105 CHAPTER 5 - Waves of envelopes , Pages 106-146 APPENDIX A - Non-linear Waves with Slowly Varying Parameters (Adiabatic Approximation of Whitham) , Pages 147-157 APPENDIX B - Evolution of Electro-acoustic Waves in Plasma with Negative Dielectric Permittivity , Pages 158-175 References , Pages 177-180 Index , Pages 181-183 OTHER TITLES IN THE SERIES IN NATURAL PHILOSOPHY , Pages 185-186