Linear and Nonlinear Waves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear and Nonlinear Waves write by G. B. Whitham. This book was released on 2011-10-18. Linear and Nonlinear Waves available in PDF, EPUB and Kindle. Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in communications and specific physical fields, including flood waves in rivers, waves in glaciers, traffic flow, sonic booms, blast waves, and ocean waves from storms.
Linear And Nonlinear Wave Propagation
Linear And Nonlinear Wave Propagation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear And Nonlinear Wave Propagation write by Spencer P Kuo. This book was released on 2021-04-16. Linear And Nonlinear Wave Propagation available in PDF, EPUB and Kindle. Waves are essential phenomena in most scientific and engineering disciplines, such as electromagnetism and optics, and different mechanics including fluid, solid, structural, quantum, etc. They appear in linear and nonlinear systems. Some can be observed directly and others are not. The features of the waves are usually described by solutions to either linear or nonlinear partial differential equations, which are fundamental to the students and researchers.Generic equations, describing wave and pulse propagation in linear and nonlinear systems, are introduced and analyzed as initial/boundary value problems. These systems cover the general properties of non-dispersive and dispersive, uniform and non-uniform, with/without dissipations. Methods of analyses are introduced and illustrated with analytical solutions. Wave-wave and wave-particle interactions ascribed to the nonlinearity of media (such as plasma) are discussed in the final chapter.This interdisciplinary textbook is essential reading for anyone in above mentioned disciplines. It was prepared to provide students with an understanding of waves and methods of solving wave propagation problems. The presentation is self-contained and should be read without difficulty by those who have adequate preparation in classic mechanics. The selection of topics and the focus given to each provide essential materials for a lecturer to cover the bases in a linear/nonlinear wave course.
Nonlinear Waves, Solitons and Chaos
Nonlinear Waves, Solitons and Chaos - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Waves, Solitons and Chaos write by Eryk Infeld. This book was released on 2000-07-13. Nonlinear Waves, Solitons and Chaos available in PDF, EPUB and Kindle. The second edition of a highly successful book on nonlinear waves, solitons and chaos.
Linear and Nonlinear Waves in Microstructured Solids
Linear and Nonlinear Waves in Microstructured Solids - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear and Nonlinear Waves in Microstructured Solids write by Igor V. Andrianov. This book was released on 2021-04-22. Linear and Nonlinear Waves in Microstructured Solids available in PDF, EPUB and Kindle. This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids, the book determines their global characteristics through analysis of their internal structure, using homogenization and asymptotic procedures, in line with the latest thinking within the field. The book’s cutting-edge methodology can be applied to optimal design, non-destructive control and in deep seismic sounding, providing a valuable alternative to widely used numerical methods. Using case studies, the book covers topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices. The book will be of interest to students, research engineers, and professionals specialising in mathematics and physics as well as mechanical and civil engineering.
A Course on Nonlinear Waves
A Course on Nonlinear Waves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Course on Nonlinear Waves write by S.S. Shen. This book was released on 1993-06-30. A Course on Nonlinear Waves available in PDF, EPUB and Kindle. The aim of this book is to give a self-contained introduction to the mathe matical analysis and physical explanations of some basic nonlinear wave phe nomena. This volume grew out of lecture notes for graduate courf;!es which I gave at the University of Alberta, the University of Saskatchewan, ·and Texas A&M University. As an introduction it is not intended to be exhaustive iQ its choice of material, but rather to convey to interested readers a basic; yet practical, methodology as well as some of the more important results obtained since the 1950's. Although the primary purpose of this volume is to serve as a textbook, it should be useful to anyone who wishes to understand or conduct research into nonlinear waves. Here, for the first time, materials on X-ray crystallography and the forced Korteweg-de Vries equation are incorporated naturally into a textbook on non linear waves. Another characteristic feature of the book is the inclusion of four symbolic calculation programs written in MATHEMATICA. They emphasize outcomes rather than numerical methods and provide certain symbolic and nu merical results related to solitons. Requiring only one or two commands to run, these programs have user-friendly interfaces. For example, to get the explicit expression of the 2-soliton of the Korteweg-de Vries equation, one only needs to type in soliton[2] when using the program solipac.m.
