Asymptotic Methods In Nonlinear Wave Theory

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Asymptotic Methods In Nonlinear Wave Theory

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Author : Alan Jeffrey
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1982

Asymptotic Methods In Nonlinear Wave Theory written by Alan Jeffrey and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Science categories.

Asymptotic Methods In Nonlinear Wave Phenomena

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Author : Tommaso Ruggeri
language : en
Publisher: World Scientific
Release Date : 2007

Asymptotic Methods In Nonlinear Wave Phenomena written by Tommaso Ruggeri and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.

This book brings together several contributions from leading experts in the field of nonlinear wave propagation. This field, which during the last three decades has seen important breakthroughs from the theoretical point of view, has recently acquired increased relevance due to advances in the technology of fluids e.g. at microscale or nanoscale and the recognition of crucial applications to the understanding of biological phenomena.Nonlinear wave theory requires the use of disparate approaches, including formal and rigorous asymptotic methods, Lie group theory, energy methods, numerical analysis, and bifurcation theory. This book presents a unique blend in which different aspects of the theory are enlightened and several real-life applications are investigated. The book will be a valuable resource for applied scientists interested in some of the most recent advances in the theory and in the applications of wave propagation, shock formation, nonequilibrium thermodynamics and energy methods.

Asymptotic Methods In Nonlinear Wave Phenomena In Honor Of The 65th Birthday Of Antonio Greco

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Author : Marco Sammartino
language : en
Publisher: World Scientific
Release Date : 2007-04-27

Asymptotic Methods In Nonlinear Wave Phenomena In Honor Of The 65th Birthday Of Antonio Greco written by Marco Sammartino and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-27 with Mathematics categories.

This book brings together several contributions from leading experts in the field of nonlinear wave propagation. This field, which during the last three decades has seen important breakthroughs from the theoretical point of view, has recently acquired increased relevance due to advances in the technology of fluids e.g. at microscale or nanoscale and the recognition of crucial applications to the understanding of biological phenomena.Nonlinear wave theory requires the use of disparate approaches, including formal and rigorous asymptotic methods, Lie group theory, energy methods, numerical analysis, and bifurcation theory. This book presents a unique blend in which different aspects of the theory are enlightened and several real-life applications are investigated. The book will be a valuable resource for applied scientists interested in some of the most recent advances in the theory and in the applications of wave propagation, shock formation, nonequilibrium thermodynamics and energy methods.

Ray Methods For Nonlinear Waves In Fluids And Plasmas

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Author : Marcelo Anile
language : en
Publisher: CRC Press
Release Date : 2021-06-23

Ray Methods For Nonlinear Waves In Fluids And Plasmas written by Marcelo Anile and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Mathematics categories.

Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.

Asymptotic Methods In Nonlinear Wave Theory

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Author : A. Jeffrey
language : en
Publisher: Halsted Press
Release Date : 1986-05-01

Asymptotic Methods In Nonlinear Wave Theory written by A. Jeffrey and has been published by Halsted Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-05-01 with categories.

Nonlinear Waves In Solids

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Author : A. Jeffrey
language : en
Publisher: Springer
Release Date : 2014-05-04

Nonlinear Waves In Solids written by A. Jeffrey and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.

Travelling wave processes and wave motion are of great importance in many areas of mechanics, and nonlinearity also plays a decisive role there. The basic mathematical models in this area involve nonlinear partial differential equations, and predictability of behaviour of wave phenomena is of great importance. Beside fluid dynamics and gas dynamics, which have long been the traditional nonlinear scienes, solid mechanics is now taking an ever increasing account of nonlinear effects. Apart from plasticity and fracture mechanics, nonlinear elastic waves have been shown to be of great importance in many areas, such as the study of impact, nondestructive testing and seismology. These lectures offer a thorough account of the fundamental theory of nonlinear deformation waves, and in the process offer an up to date account of the current state of research in the theory and practice of nonlinear waves in solids.

Nonlinear Wave Dynamics

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Author : J. Engelbrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Nonlinear Wave Dynamics written by J. Engelbrecht and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.

Important Developments In Soliton Theory

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Author : A.S. Fokas
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Important Developments In Soliton Theory written by A.S. Fokas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

In the last ten to fifteen years there have been many important developments in the theory of integrable equations. This period is marked in particular by the strong impact of soliton theory in many diverse areas of mathematics and physics; for example, algebraic geometry (the solution of the Schottky problem), group theory (the discovery of quantum groups), topology (the connection of Jones polynomials with integrable models), and quantum gravity (the connection of the KdV with matrix models). This is the first book to present a comprehensive overview of these developments. Numbered among the authors are many of the most prominent researchers in the field.

Nonlinear Dispersive Wave Systems

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Author : Lokenath Debnath
language : en
Publisher: World Scientific
Release Date : 1992-09-09

Nonlinear Dispersive Wave Systems written by Lokenath Debnath and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-09-09 with categories.

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 Hamiltonian Systems

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Author : Ricardo Carretero-González
language : en
Publisher: Oxford University Press
Release Date : 2024-11-05

Nonlinear Waves Hamiltonian Systems written by Ricardo Carretero-González and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-05 with Mathematics categories.

Nonlinear waves are of significant scientific interest across many diverse contexts, ranging from mathematics and physics to engineering, biosciences, chemistry, and finance. The study of nonlinear waves is relevant to Bose-Einstein condensates, the interaction of electromagnetic waves with matter, optical fibers and waveguides, acoustics, water waves, atmospheric and planetary scales, and even galaxy formation. The aim of this book is to provide a self-contained introduction to the continuously developing field of nonlinear waves, that offers the background, the basic ideas, and mathematical, as well as computational methods, while also presenting an overview of associated physical applications. Originated from the authors' own research activity in the field for almost three decades and shaped over many years of teaching on relevant courses, the primary purpose of this book is to serve as a textbook. However, the selection and exposition of the material will be useful to anyone who is curious to explore the fascinating world of nonlinear waves.