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Author: Claire David Publisher: Bentham Science Publishers ISBN: 1608051404 Category : Science Languages : en Pages : 267
Book Description
Since the first description by John Scott Russel in 1834, the solitary wave phenomenon has attracted considerable interests from scientists. The most interesting discovery since then has been the ability to integrate most of the nonlinear wave equations which govern solitary waves, from the Korteweg-de Vries equation to the nonlinear Schrodinger equation, in the 1960's. From that moment, a huge amount of theoretical works can be found on solitary waves. Due to the fact that many physical phenomena can be described by a soliton model, applications have followed each other, in telecommunications
Author: Claire David Publisher: Bentham Science Publishers ISBN: 1608051404 Category : Science Languages : en Pages : 267
Book Description
Since the first description by John Scott Russel in 1834, the solitary wave phenomenon has attracted considerable interests from scientists. The most interesting discovery since then has been the ability to integrate most of the nonlinear wave equations which govern solitary waves, from the Korteweg-de Vries equation to the nonlinear Schrodinger equation, in the 1960's. From that moment, a huge amount of theoretical works can be found on solitary waves. Due to the fact that many physical phenomena can be described by a soliton model, applications have followed each other, in telecommunications
Author: K. Murawski Publisher: World Scientific ISBN: 9789812776631 Category : Science Languages : en Pages : 260
Book Description
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
Author: Krzysztof Murawski Publisher: World Scientific ISBN: 9814487562 Category : Science Languages : en Pages : 255
Book Description
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
Author: John P. Boyd Publisher: Springer Science & Business Media ISBN: 1461558255 Category : Mathematics Languages : en Pages : 609
Book Description
This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Author: S. L. Gavrilyuk Publisher: Springer ISBN: 3319492772 Category : Mathematics Languages : en Pages : 149
Book Description
Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and conservation laws for quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations. Chapter 3 deals with surface and internal waves in an incompressible fluid. The efficiency of mathematical methods is demonstrated on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids. The self-contained presentations of the material is complemented by 200+ problems of different level of difficulty, numerous illustrations, and bibliographical recommendations.
Author: Roger Grimshaw Publisher: Springer Science & Business Media ISBN: 0306480247 Category : Science Languages : en Pages : 286
Book Description
The dynamics of flows in density-stratified fluids has been and remains now an important topic for scientific enquiry. Such flows arise in many contexts, ranging from industrial settings to the oceanic and atmospheric environments. It is the latter topic which is the focus of this book. Both the ocean and atmosphere are characterised by the basic vertical density stratification, and this feature can affect the dynamics on all scales ranging from the micro-scale to the planetary scale. The aim of this book is to provide a “state-of-the-art” account of stratified flows as they are relevant to the ocean and atmosphere with a primary focus on meso-scale phenomena; that is, on phenomena whose time and space scales are such that the density stratification is a dominant effect, so that frictional and diffusive effects on the one hand and the effects of the earth’s rotation on the other hand can be regarded as of less importance. This in turn leads to an emphasis on internal waves.
Author: M. C. Shen Publisher: ISBN: Category : Solitons Languages : en Pages : 0
Book Description
Solitary waves in compressible media of finite depth and infinite depth are studied. The critical speeds are first obtained from the linearized equations and then confirmed by the results of the nonlinear theory. Explicit expressions for the solitary waves are established by a perturbation scheme applied to the nonlinear equations. The case of a polytropic compressible medium of finite depth at rest in the state of equilibrium is studied. Solitary waves in compressible medium of infinite depth are investigated. The former concerns two isothermal layers at rest in the state of equilibrium separated by a contact surface; the latter, an isothermal layer with non-uniform velocity distribution at equilibrium. It is found that solitary waves vanish at certain values of characteristic parameters introduced in each case, and especially no solitary wave solution exists for an isothermal layer of infinite depth. (Author).
Author: Claire David
Author: Claire David
Author: R. Grimshaw
Author: Lloyd R. Walker
Author: Maki Nakayama
Author: K. Murawski
Author: Krzysztof Murawski
Author: John P. Boyd
Author: S. L. Gavrilyuk
Author: Roger Grimshaw
Author: M. C. Shen