Linear and Nonlinear Waves

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Release : 2011-10-18
Genre : Science
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Book Rating : 202/5 ( reviews)

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.

A Course on Nonlinear Waves

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Release : 1993-06-30
Genre : Mathematics
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Book Rating : 924/5 ( reviews)

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.

Nonlinear Waves, Solitons and Chaos

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Release : 2000-07-13
Genre : Mathematics
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Book Rating : 578/5 ( reviews)

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.

Nonlinear Wave Equations

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Release : 1990-01-12
Genre : Mathematics
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Book Rating : 250/5 ( reviews)

Nonlinear Wave Equations - 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 Wave Equations write by Walter A. Strauss. This book was released on 1990-01-12. Nonlinear Wave Equations available in PDF, EPUB and Kindle. The theory of nonlinear wave equations in the absence of shocks began in the 1960s. Despite a great deal of recent activity in this area, some major issues remain unsolved, such as sharp conditions for the global existence of solutions with arbitrary initial data, and the global phase portrait in the presence of periodic solutions and traveling waves. This book, based on lectures presented by the author at George Mason University in January 1989, seeks to present the sharpest results to date in this area. The author surveys the fundamental qualitative properties of the solutions of nonlinear wave equations in the absence of boundaries and shocks. These properties include the existence and regularity of global solutions, strong and weak singularities, asymptotic properties, scattering theory and stability of solitary waves. Wave equations of hyperbolic, Schrodinger, and KdV type are discussed, as well as the Yang-Mills and the Vlasov-Maxwell equations. The book offers readers a broad overview of the field and an understanding of the most recent developments, as well as the status of some important unsolved problems. Intended for mathematicians and physicists interested in nonlinear waves, this book would be suitable as the basis for an advanced graduate-level course.

Nonlinear Waves in Integrable and Non-integrable Systems

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Release : 2010-12-02
Genre : Science
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Book Rating : 051/5 ( reviews)

Nonlinear Waves in Integrable and Non-integrable Systems - 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 in Integrable and Non-integrable Systems write by Jianke Yang. This book was released on 2010-12-02. Nonlinear Waves in Integrable and Non-integrable Systems available in PDF, EPUB and Kindle. Nonlinear Waves in Integrable and Nonintegrable Systems presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for nonintegrable systems is the first of its kind. This book is intended for researchers and graduate students working in applied mathematics and various physical subjects where nonlinear wave phenomena arise (such as nonlinear optics, Bose-Einstein condensates, and fluid dynamics).