The Solitary Wave and Periodic Waves in Shallow Water

The Solitary Wave and Periodic Waves in Shallow Water PDF Author: Joseph B Keller
Publisher: Legare Street Press
ISBN: 9781019586051
Category :
Languages : en
Pages : 0

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Book Description
This book is a detailed study of solitary waves and periodic waves in shallow water. The author, Joseph B. Keller, is a renowned mathematician with extensive expertise in applied mathematics. In this book, he provides a comprehensive analysis of the physical phenomena associated with the propagation of waves in shallow water. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Solitary Wave and Periodic Waves in Shallow Water

The Solitary Wave and Periodic Waves in Shallow Water PDF Author: Joseph B Keller
Publisher: Legare Street Press
ISBN: 9781019586051
Category :
Languages : en
Pages : 0

Get Book Here

Book Description
This book is a detailed study of solitary waves and periodic waves in shallow water. The author, Joseph B. Keller, is a renowned mathematician with extensive expertise in applied mathematics. In this book, he provides a comprehensive analysis of the physical phenomena associated with the propagation of waves in shallow water. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Physicochemical Hydrodynamics

Physicochemical Hydrodynamics PDF Author: Manual G. Verlarde
Publisher: Springer Science & Business Media
ISBN: 1461307074
Category : Science
Languages : en
Pages : 1093

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Book Description
This book contains lecture notes and invited contributions presented at the NATO Advanced Study Institute and EPS Liquid State Conference on PHYSICOCHEMICAL HYDRODYNAMICS-PCH: INTERFACIAL PHENOMENA that were held July 1-15, 1986, in LA RABIDA (Huelva) SPAIN. Although we are aware of the difficulty in organizing the contents due to the broad and multidisciplinary aspects of PCH-Interfacial Phenomena, we have tried to accomodate papers by topics and have not followed the order in the presentation at the meetings. There is also no distinction between the ASI notes and Conference papers. We have done our best to offer a coverage as complete as possible of the field. However, we had difficulties coming from the fact that some authors were so busy that either did not find time to submit their contribution or did not have time to write a comprehensive paper. We also had to cope with very late arrivals, postdeadline valuable contributions that we felt had to be included here. Our gratitude goes to the NATO Scientific Affairs Division for its economic support and to the EPS Liquid State Committee for its sponsorship. Financial support also came from Asociacion Industrias Quimicas-Huelva (Spain), Caycit-Ministerio De Educacion Y Ciencia (Spain), Canon-Espana (Spain), Citibank-Espana (Spain), CNLS-Los Alamos Nat. Lab. (U. S. A. ), CSIC (Spain), EPS, ERT (Spain), ESA, Fotonica (Spain), IBM-Espana (Spain), Junta De Andalucia (Spain), NATO, NSF (U. S. A. ), ONR-London (U. S. A.

Mathematics of Complexity and Dynamical Systems

Mathematics of Complexity and Dynamical Systems PDF Author: Robert A. Meyers
Publisher: Springer Science & Business Media
ISBN: 1461418054
Category : Mathematics
Languages : en
Pages : 1885

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Book Description
Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Solitary Waves in Fluids

Solitary Waves in Fluids PDF Author: R. Grimshaw
Publisher: WIT Press
ISBN: 1845641574
Category : Science
Languages : en
Pages : 209

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Book Description
Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.

Water Wave Mechanics For Engineers And Scientists

Water Wave Mechanics For Engineers And Scientists PDF Author: Robert G Dean
Publisher: World Scientific Publishing Company
ISBN: 9814365696
Category : Technology & Engineering
Languages : en
Pages : 369

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Book Description
This book is intended as an introduction to classical water wave theory for the college senior or first year graduate student. The material is self-contained; almost all mathematical and engineering concepts are presented or derived in the text, thus making the book accessible to practicing engineers as well.The book commences with a review of fluid mechanics and basic vector concepts. The formulation and solution of the governing boundary value problem for small amplitude waves are developed and the kinematic and pressure fields for short and long waves are explored. The transformation of waves due to variations in depth and their interactions with structures are derived. Wavemaker theories and the statistics of ocean waves are reviewed. The application of the water particle motions and pressure fields are applied to the calculation of wave forces on small and large objects. Extension of the linear theory results to several nonlinear wave properties is presented. Each chapter concludes with a set of homework problems exercising and sometimes extending the material presented in the chapter. An appendix provides a description of nine experiments which can be performed, with little additional equipment, in most wave tank facilities.

Partial Differential Equations and Solitary Waves Theory

Partial Differential Equations and Solitary Waves Theory PDF Author: Abdul-Majid Wazwaz
Publisher: Springer Science & Business Media
ISBN: 364200251X
Category : Mathematics
Languages : en
Pages : 700

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Book Description
"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented, this part does not require thorough understanding of abstract theories or compact concepts. Well-selected worked examples and exercises shall guide the reader through the text. Part II provides an extensive exposition of the solitary waves theory. This part handles nonlinear evolution equations by methods such as Hirota’s bilinear method or the tanh-coth method. A self-contained treatment is presented to discuss complete integrability of a wide class of nonlinear equations. This part presents in an accessible manner a systematic presentation of solitons, multi-soliton solutions, kinks, peakons, cuspons, and compactons. While the whole book can be used as a text for advanced undergraduate and graduate students in applied mathematics, physics and engineering, Part II will be most useful for graduate students and researchers in mathematics, engineering, and other related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University, Chicago, Illinois, USA.

Physics of Solitons

Physics of Solitons PDF Author: Thierry Dauxois
Publisher: Cambridge University Press
ISBN: 0521854210
Category : Mathematics
Languages : en
Pages : 435

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Book Description
This textbook gives an instructive view of solitons and their applications for advanced students of physics.

A Modern Introduction to the Mathematical Theory of Water Waves

A Modern Introduction to the Mathematical Theory of Water Waves PDF Author: Robin Stanley Johnson
Publisher: Cambridge University Press
ISBN: 9780521598323
Category : Mathematics
Languages : en
Pages : 468

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Book Description
This text considers classical and modern problems in linear and non-linear water-wave theory.

Applications of Symmetry Methods to Partial Differential Equations

Applications of Symmetry Methods to Partial Differential Equations PDF Author: George W. Bluman
Publisher: Springer Science & Business Media
ISBN: 0387680284
Category : Mathematics
Languages : en
Pages : 415

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Book Description
This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.

Basic Wave Mechanics

Basic Wave Mechanics PDF Author: Robert M. Sorensen
Publisher: John Wiley & Sons
ISBN: 9780471551652
Category : Technology & Engineering
Languages : en
Pages : 310

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Book Description
Intended for coastal engineers and marine scientists who desire to develop a fundamental physical understanding of ocean waves and be able to apply this knowledge to ocean and coastal analysis and design. Provides an introduction to the physical processes of ocean wave mechanics, an understanding of the basic techniques for wave analysis, techniques for practical calculation and prediction of waves and applied wave forecasting.