5 edition of An Introduction to Asymmetric Solitary Waves (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics) found in the catalog.
An Introduction to Asymmetric Solitary Waves (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics)
Iurii K. Engel Brekht
Written in English
|The Physical Object|
Introduction to part 4: the concentration-compactness principle in the stability theory ; Existence and stability of solitary waves for the GBO equations ; More about the Concentration-Compactness Principle ; Instability of solitary wave solutions ; Stability of periodic travelling waves. Cited by: Ocean Engineering Mechanics provides an introduction to water waves and wave-structure interactions for ﬁxed and ﬂoating bodies. The author provides a foundation in wave mechanics, including a thorough The Solitary Wave Example Application of the Solitary .
A SIMPLE INTRODUCTION TO WATER WAVES 5 The dynamic boundary condition on the free surface is that the stresses on either side of the surface are equal. In the case of an air-water interface, we neglect the motion of the air, because of its smaller density, and assume that the atmospheric pressure is constant p= 0. Electrostatic solitary waves (ESWs) are observed at the magnetopause with distinct time scales. These ESWs are associated with asymmetric reconnection of the cold dense magnetosheath plasma with the hot tenuous magnetospheric plasma. The distinct time scales are shown to be due to ESWs moving at distinct speeds and having distinct length by:
Introduction Nonlinear internal solitary waves (ISWs) attract interest because many aspects of their behaviour require further theoretical analysis to describe them fully and because they occur (and are important dynamically) in many oceanic contexts (e.g. Vlasenko et al., ; Apel et al., ). The focus of the present study is the. This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is.
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Additional Physical Format: Online version: Engelbrecht, Jüri. Introduction to asymmetric solitary waves. Harlow, Essex, England: Longman Scientific & Technical.
AN INTRODUCTION TO ASYMMETRIC SOLITARY WAVES (Pitman Monographs and Surveys in Pure and Applied Mathematics 56) By J. Engelbrecht: pp., £, ISBN 0 8 (Longman Scientific & Technical, ).Cited by: This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves.
The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization by: An introduction to asymmetric solitary waves.
Kirje Engelbrecht, Jüri (). An introduction to asymmetric solitary waves. Harlow: Longman. Publikatsiooni tüüp raamat/monograafia Autorid, kellel on ETISe konto Jüri Engelbrecht (Autor) Autorid Kui väljale „Autorid, kelle on ETISE konto“ sai lisada ainult neid isikuid, kes on ETISe.
Otherwise, a third wavepacket is generated and the process continues. The main result is that there exists a countable infinity of symmetric and asymmetric multibump solutions. But, unlike the solitary waves obtained in the previous subsection, each of these multibump solitary waves bifurcates at a certain finite amplitude.
This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves.
The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques.
Linear and nonlinear waves are a central part of the theory of PDEs. This book begins with a description of one-dimensional waves and their visualization through computer-aided techniques. Next, traveling waves are covered, such as solitary waves for the Klein-Gordon and KdV equations.
Finally, the author gives a lucid discussion of waves arising from conservation. This book by Prof Yang is an excellent book for people want to know more about piezoelectricity and piezoelectric devices.
It starts with a complete theory of piezoelectricity with the intention to get readers familirize with the fundamentals. This part is complicated from its appearance, but there is a by: The type of internal solitary wave examined was the first mode depression wave, with maximum amplitude of m.
The seafloor can influence the waveforms of these waves. Specifically, the seafloor can “cut” the bottom of solitary waves, making them discontinuous, and seafloor friction can induce many short waves near it.
Partial Differential Equations: An Introduction. Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables.4/5(2). This book is an introduction to the perturbation theory for linear and nonlinear waves in dispersive and dissipative media.
The main focus is on the direct asymptotic method which is based on the asymptotic expansion of the solution in series of one or more small parameters and demanding finiteness.
1 Introduction A solitary wave is a wave which propagates without any temporal evolution in shape or size when viewed in the reference frame moving with the group velocity of the wave. The book provides a thorough introduction for researchers and graduate students in assorted areas of physics, such as fluid dynamics, plasma physics, optics, and astrophysics.
The authors first explain introductory aspects of waves and electromagnetism, including characteristics of waves, the basics of electrostatics and magnetostatics, and. characteristics and shock waves. These are meant to be introductory and are abbreviated versions of topics in my book “Linear and nonlinear waves”, which can be consulted for ampliﬁcation.
The main content is an entirely new presentation. It is on water waves, with special emphasis on old and new results for waves on a sloping beach.
The book presents an introduction to the theory of solitons, with emphasis on the background material and introductory concepts of current research trends. Connections between a nonlinear partial differential equation that exhibits soliton behavior (the Korteweg-de Vries equation) and a linear eigenvalue problem are indicated, and one-dimensional scattering theory and inverse Cited by: Evolution Equation Nonlinear Acoustics Progressive Wave Telegraph Equation Initial Excitation These keywords were added by machine and not by the authors.
This process is experimental and the keywords may be updated as the learning algorithm : J. Engelbrecht. Evolution Equation Solitary Wave Helmholtz Free Energy Wave Profile Quadratic Nonlinearity.
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves. This is a preview of subscription content, log in to check by: 3. 3 Solitons and Shock Waves This section will focus on extraction the soliton solutions to the gO-BBM equation.
There are three types of solitons that will be studied in this section. They are solitary waves, shock waves and singular solitons.
Solitary Waves In order to solve (2), the starting hypothesis is given by [18,19] u(x,t)= A coshp. In line with this interpretation, it would appear that one may also co nstruct asymmetric solitary waves by shifting the carrier oscillations relative to the envelope of a symmetric solitary wave.
An animation of the overtaking of two solitary waves according to the Benjamin–Bona–Mahony equation – or BBM equation, a model equation for (among others) long surface gravity waves. The wave heights of the solitary waves are and. In this paper some physical phenomena are explained by means of intermodal interaction of waves.
The subharmonic generation of waves in piezoelectric plates with Cantor-like structure, the interaction of internal solitary waves of different modes in an incompressible fluid with an exponential stratification in densities and the turbulent flow of a micropolar fluid downwards on .Chapter 2 Wave kinematics What is a wave?
A wave is a spatial form that translates in space while maintaining its shape. In general, a wave traveling in the x-direction can be represented by the function of the form f(˘), where ˘= x ct x.Get this from a library!
An introduction to the mathematical theory of waves. [Roger Knobel] -- "Linear and nonlinear waves are a central part of the theory of PDEs. This book begins with a description of one-dimensional waves and their visualization .