A non-linear wave is one of the fundamental objects of nature. They are inherent to aerodynamics and hydrodynamics, solid state physics and plasma physics, optics and field theory, chemistry reaction kinetics and population dynamics, nuclear physics and gravity. All non-linear waves can be divided into two parts: dispersive waves and dissipative ones. The history of investigation of these waves has been lasting about two centuries. In 1834 J. S. Russell discovered the extraordinary type of waves without the dispersive broadening. In 1965 N. J. Zabusky and M. D. Kruskal found that the Korteweg-de Vries equation has solutions of the solitary wave form. This solitary wave demonstrates the particle-like properties, i. e. , stability under propagation and the elastic interaction under collision of the solitary waves. These waves were named solitons. In succeeding years there has been a great deal of progress in understanding of soliton nature. Now solitons have become the primary components in many important problems of nonlinear wave dynamics. It should be noted that non-linear optics is the field, where all soliton features are exhibited to a great extent. This book had been designed as the tutorial to the theory of non-linear waves in optics. The first version was projected as the book covering all the problems in this field, both analytical and numerical methods, and results as well. However, it became evident in the process of work that this was not a real task.
This engaging book describes the properties of sound waves, how they move, and the way our ears catch them. Readers will learn how sound waves travel through different mediums and be amazed by the different ways sound waves are used in real life, such as for communication with animals and deep-sea exploration. A link to interactive activities online plus an activity in the book allow readers to experiment with sound waves to achieve different sounds.
This book writing is started since 2001 onward. It is a high-tech, mechanical revolution for human beings. All the feelings mentioned in this book happened through past years. This book is an invention that all the happenings happen like with an abnormality comparing with our surroundings and media. If you compare all the asking of yours with this book, you can understand that feeling. Some of the light radiation interfere with our brain and take control of brain and our thoughts, so we are doing and speaking like a robot. This robotism is related and working with our thoughts and character and the opposite person who are close to us. If we have an observant mind, we will understand easily. Sometimes, all the feelings in our brain will be created by this radiation, and speaking and working regarding with this law. At last, this period, all the people all over the world will be controlled by this system.
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