Nonlinear Waves in One-dimensional Dispersive Systems

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Release : 1979
Genre : Language Arts & Disciplines
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Nonlinear Waves in One-dimensional Dispersive 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 One-dimensional Dispersive Systems write by P. L. Bhatnagar. This book was released on 1979. Nonlinear Waves in One-dimensional Dispersive Systems available in PDF, EPUB and Kindle.

Nonlinear Dispersive Wave Systems

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Release : 1992-09-09
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Book Rating : 960/5 ( reviews)

Nonlinear Dispersive Wave 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 Dispersive Wave Systems write by Lokenath Debnath. This book was released on 1992-09-09. Nonlinear Dispersive Wave Systems available in PDF, EPUB and Kindle. This book brings together a comprehensive account of major developments in the theory and applications of nonlinear dispersive waves, nonlinear water waves, KdV and nonlinear Schrodinger equations, Davey-Stewartson equation, Benjamin-Ono equation and nonlinear instability phenomena. In order to give the book a wider readership, chapters have been written by internationally known researchers who have made significant contributions to nonlinear waves and nonlinear instability. This volume will be invaluable to applied mathematicians, physicists, geophysicists, oceanographers, engineering scientists, and to anyone interested in nonlinear dynamics.

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).

Nonlinear Periodic Waves And Their Modulations: An Introductory Course

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Release : 2000-09-05
Genre : Science
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Book Rating : 434/5 ( reviews)

Nonlinear Periodic Waves And Their Modulations: An Introductory Course - 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 Periodic Waves And Their Modulations: An Introductory Course write by Anatoly M Kamchatnov. This book was released on 2000-09-05. Nonlinear Periodic Waves And Their Modulations: An Introductory Course available in PDF, EPUB and Kindle. Although the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especially when compared with the classical theory of linear dispersive waves and nonlinear fluid motion. The Whitham method, which describes the combining action of the dispersive and nonlinear effects as modulations of periodic waves, is not widely used by applied mathematicians and physicists, though it provides a direct and natural way to treat various problems in nonlinear wave theory. Therefore it is topical to describe recent developments of the Whitham theory in a clear and simple form suitable for applications in various branches of physics.This book develops the techniques of the theory of nonlinear periodic waves at elementary level and in great pedagogical detail. It provides an introduction to a Whitham's theory of modulation in a form suitable for applications. The exposition is based on a thorough analysis of representative examples taken from fluid mechanics, nonlinear optics and plasma physics rather than on the formulation and study of a mathematical theory. Much attention is paid to physical motivations of the mathematical methods developed in the book. The main applications considered include the theory of collisionless shock waves in dispersive systems and the nonlinear theory of soliton formation in modulationally unstable systems. Exercises are provided to amplify the discussion of important topics such as singular perturbation theory, Riemann invariants, the finite gap integration method, and Whitham equations and their solutions.

Nonlinear Dynamics

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 884/5 ( reviews)

Nonlinear Dynamics - 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 Dynamics write by Muthusamy Lakshmanan. This book was released on 2012-12-06. Nonlinear Dynamics available in PDF, EPUB and Kindle. This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.