Mathematical Studies In Nonlinear Wave Propagation

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Mathematical Studies In Nonlinear Wave Propagation

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Author : Dominic P. Clemence
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Mathematical Studies In Nonlinear Wave Propagation written by Dominic P. Clemence and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Lively discussions and stimulating research were part of a five-day conference on Mathematical Methods in Nonlinear Wave Propagation sponsored by the NSF and CBMS. This volume is a collection of lectures and papers stemming from that event. Leading experts present dynamical systems and chaos, scattering and spectral theory, nonlinear wave equations, optimal control, optical waveguide design, and numerical simulation. The book is suitable for a diverse audience of mathematical specialists interested in fiber optic communications and other nonlinear phenomena. It is also suitable for engineers and other scientists interested in the mathematics of nonlinear wave propagation.

A Course On Nonlinear Waves

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Author : S.S. Shen
language : en
Publisher: Springer
Release Date : 1993-06-30

A Course On Nonlinear Waves written by S.S. Shen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-30 with Mathematics categories.

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.

Mathematics Of Wave Phenomena

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Author : Willy Dörfler
language : en
Publisher: Springer Nature
Release Date : 2020-10-01

Mathematics Of Wave Phenomena written by Willy Dörfler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-01 with Mathematics categories.

Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.

Introduction To The Mathematical Physics Of Nonlinear Waves

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Author : Minoru Fujimoto
language : zh-CN
Publisher:
Release Date : 2021

Introduction To The Mathematical Physics Of Nonlinear Waves written by Minoru Fujimoto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematical physics categories.

Nonlinear Waves In Integrable And Non Integrable Systems

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Author : Jianke Yang
language : en
Publisher: SIAM
Release Date : 2010-12-02

Nonlinear Waves In Integrable And Non Integrable Systems written by Jianke Yang and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-02 with Science categories.

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).

Fifth International Conference On Mathematical And Numerical Aspects Of Wave Propagation

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Author : Alfredo Berm?dez
language : en
Publisher: SIAM
Release Date : 2000-01-01

Fifth International Conference On Mathematical And Numerical Aspects Of Wave Propagation written by Alfredo Berm?dez and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Science categories.

This conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.

Inventory Of Advanced Energy Technologies And Energy Conservation Research And Development 1976 1978

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Author : Oak Ridge National Laboratory
language : en
Publisher:
Release Date : 1979

Inventory Of Advanced Energy Technologies And Energy Conservation Research And Development 1976 1978 written by Oak Ridge National Laboratory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Energy conservation categories.

U S Government Research Development Reports

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Author :
language : en
Publisher:
Release Date : 1970

U S Government Research Development Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Science categories.

Solitons

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Author : Mohamed Atef Helal
language : en
Publisher: Springer Nature
Release Date : 2022-11-12

Solitons written by Mohamed Atef Helal and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-12 with Science categories.

This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., Kadomtsev-Petviashvili (KP), Klein-Gordon (KG), Sine-Gordon (SG), Non-Linear Schrödinger (NLS), Korteweg-de-Vries Burger’s (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iteration Method (VIM), Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM). Other non-analytic methods use the computational techniques available in such popular mathematical packages as Mathematica, Maple, and MATLAB. The main purpose of this volume is to provide physicists, engineers, and their students with the proper methods and tools to solve the soliton equations, and to discover the new possibilities of using solitons in multi-disciplinary areas ranging from telecommunications to biology, cosmology, and oceanographic studies.

Collected Papers

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Author : Fritz John
language : en
Publisher:
Release Date : 1985

Collected Papers written by Fritz John and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.