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 Periodic Waves and Their Modulations
Nonlinear Periodic Waves and Their Modulations - 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 write by Anatoli? Mikha?lovich Kamchatnov. This book was released on 2000. Nonlinear Periodic Waves and Their Modulations 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.
Wave Propagation in Linear and Nonlinear Periodic Media
Wave Propagation in Linear and Nonlinear Periodic Media - 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 Wave Propagation in Linear and Nonlinear Periodic Media write by Francesco Romeo. This book was released on 2013-07-30. Wave Propagation in Linear and Nonlinear Periodic Media available in PDF, EPUB and Kindle. Waves and defect modes in structures media.- Piezoelectric superlattices and shunted periodic arrays as tunable periodic structures and metamaterials.- Topology optimization.- Map-based approaches for periodic structures.- Methodologies for nonlinear periodic media. The contributions in this volume present both the theoretical background and an overview of the state-of-the art in wave propagation in linear and nonlinear periodic media in a consistent format. They combine the material issued from a variety of engineering applications, spanning a wide range of length scale, characterized by structures and materials, both man-made and naturally occurring, featuring geometry, micro-structural and/or materials properties that vary periodically in space, including periodically stiffened plates, shells and beam-like as well as bladed disc assemblies, phononic metamaterials, photonic crystals and ordered granular media. Along with linear models and applications, analytical methodologies for analyzing and exploiting complex dynamical phenomena arising in nonlinear periodic systems are also presented.
Symmetry, Phase Modulation and Nonlinear Waves
Symmetry, Phase Modulation 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 Symmetry, Phase Modulation and Nonlinear Waves write by Thomas J. Bridges. This book was released on 2017-07-03. Symmetry, Phase Modulation and Nonlinear Waves available in PDF, EPUB and Kindle. Bridges studies the origin of Korteweg-de Vries equation using phase modulation and its implications in dynamical systems and nonlinear waves.
Structure And Dynamics Of Nonlinear Waves In Fluids: Proceedings Of The Iutam/isimm Symposium
Structure And Dynamics Of Nonlinear Waves In Fluids: Proceedings Of The Iutam/isimm Symposium - 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 Structure And Dynamics Of Nonlinear Waves In Fluids: Proceedings Of The Iutam/isimm Symposium write by K Kirchgassner. This book was released on 1995-08-31. Structure And Dynamics Of Nonlinear Waves In Fluids: Proceedings Of The Iutam/isimm Symposium available in PDF, EPUB and Kindle. This symposium brought together mechanicians, physicists and applied mathematicians to discuss the interdisciplinary topic of nonlinear wave motion, which displays effects that give rise to a multitude of unanswered questions. Nonlinear waves in fluids in particular display all the prominent nonlinear phenomena such as chaos, turbulence and pattern formation. Amongst the topics emphasized in these proceedings are: travelling fronts, solitary waves and periodic waves (dissipative and conservative); temporal and spatial asymptotics of perturbations of waves; bifurcations, stability and local dynamics of waves; interaction between different waves, and between waves and the mean flow; wave breaking, nonlinear effects on focussing and diffraction; modulation and envelope equations (their derivation and validity); and numerical and experimental results.
