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Nonlinear Dispersive Wave Systems

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

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Book Synopsis Nonlinear Dispersive Wave Systems by : Lokenath Debnath

Download or read book Nonlinear Dispersive Wave Systems written by Lokenath Debnath. This book was released on 1992-09-09. Available in PDF, EPUB and Kindle. Book excerpt: 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 Dispersive Wave Systems

1992-01-01 Science
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Release : 1992-01-01
Genre : Science
Kind : eBook
Book Rating : 483/5 ( reviews)

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Book Synopsis Nonlinear Dispersive Wave Systems by : Lokenath Debnath

Download or read book Nonlinear Dispersive Wave Systems written by Lokenath Debnath. This book was released on 1992-01-01. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dispersive Equations

2006 Mathematics
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Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 432/5 ( reviews)

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Book Synopsis Nonlinear Dispersive Equations by : Terence Tao

Download or read book Nonlinear Dispersive Equations written by Terence Tao. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: "Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the real-world intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems.".

Nonlinear Waves in One-dimensional Dispersive Systems

1979 Language Arts & Disciplines
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Release : 1979
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Nonlinear Waves in One-dimensional Dispersive Systems by : P. L. Bhatnagar

Download or read book Nonlinear Waves in One-dimensional Dispersive Systems written by P. L. Bhatnagar. This book was released on 1979. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dispersive Waves

2011-09-08 Mathematics
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Release : 2011-09-08
Genre : Mathematics
Kind : eBook
Book Rating : 480/5 ( reviews)

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Book Synopsis Nonlinear Dispersive Waves by : Mark J. Ablowitz

Download or read book Nonlinear Dispersive Waves written by Mark J. Ablowitz. This book was released on 2011-09-08. Available in PDF, EPUB and Kindle. Book excerpt: The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.

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