3 edition of **Nonlinear wave motion.** found in the catalog.

Nonlinear wave motion.

- 139 Want to read
- 11 Currently reading

Published
**1974**
by American Mathematical Society in Providence, R.I
.

Written in English

- Wave-motion, Theory of -- Congresses.,
- Nonlinear theories -- Congresses.,
- Differential equations, Nonlinear -- Congresses.

**Edition Notes**

Statement | Alan C. Newell, editor. |

Series | Lectures in applied mathematics,, v. 15, Lectures in applied mathematics (American Mathematical Society) ;, v. 15. |

Contributions | Newell, Alan C., 1941- ed., American Mathematical Society., Society for Industrial and Applied Mathematics. |

Classifications | |
---|---|

LC Classifications | QA927 .N66 |

The Physical Object | |

Pagination | viii, 229 p. |

Number of Pages | 229 |

ID Numbers | |

Open Library | OL5425117M |

ISBN 10 | 0821811150 |

LC Control Number | 73019504 |

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. Nonlinear Wave Dynamics. Selected Papers of the Symposium Held in Honor of Philip L-F Liu's 60th Birthday. Swash Motion Driven by Bichromatic Wave Groups Over Sloping Bottoms “The book is well organized and is written in a precise and lucid style. It can be recommended to explorers and practitioners in ocean engineering.

An algorithm for the solution of general isotropic nonlinear wave equations is presented. The algorithm is based on a symmetric factorization of the linear part of the wave operator, followed by its exact integration through an integrating factor in spectral by: the nonlinear Fourier analysis of shallow water, ocean surface waves. We are all familiar with traditional, linear Fourier methods as the fundamental tool for the analysis of wave data. Recent results have demonstrated that nonlinear Fourier analysis provides an even more useful tool for understanding large waves in shallow Size: KB.

A nonlinear model of two-dimensional liquid motion inside a rectangular TLD subjected to horizontal motion is developed on the basis of shallow . Throughout the twentieth century, development of the linearized theory of wave motion in fluids and hydrodynamic stability has been steady and significant. In the last three decades there have been remarkable developments in nonlinear dispersive waves in general, nonlinear water waves in particular, and nonlinear instability Edition: 1.

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Waves are a ubiquitous and important feature of the physical world, and, throughout history, it has been a major challenge to understand them. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses for mathematicians, physicists or engineers.

Some more advanced material on both linear and nonlinear waves is also included, making the book 5/5(1). Nonlinear wave motion. Harlow, Essex, England: Longman Scientific & Technical ; New York: J.

Wiley, Book, Internet Resource: All Authors / Contributors: Alan Jeffrey. Find more information about: ISBN: X Reductive perturbation method for quasi-one-dimensional nonlinear wave. The re-issue of this excellent book on linear and nonlinear waves in paperback form is to be welcomed. (Zentralblatt Math, VolumeNo 15, ) this book draws on such phenomena as heat conduction and wave motion to show how partial differential equations are used to obtain specific information about the phy-sical world.

Topics include Cited by: The second is vibration and wave motion, such as periodic motion, water wave, acoustic wave, and seismic wave. The third is chaotic movement, such as intermittent motion, turbulence, and nonlinear wave motion. This book only discusses classical vibration and wave theory.

Genre/Form: Kongress Kongreß Conference papers and proceedings Potsdam (NY, ) Congresses Congrès: Additional Physical Format: Online version: Nonlinear wave motion.

Nonlinear Wave Motion (Lectures in Applied Mathematics) by Alan C. Newell (Editor) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

The digit and digit formats both work. the subject of computing the nonlinear wave motion of the sloshing of liquid in containers, because of the often-idealized geometry and limited physical scale of such problems they form a different area of research from the scope of this book and we have chosen not to include them.

Similarly we will presentCited by: Nonlinear Evolution Equations and Gardner reveal that a large number of equations governing nonlinear wave motion can be put in a Hamiltonian formalism.

Many of these equations turn out to be completely integrable. This book is divided into 13 chapters and begins with reviews of the uniqueness of solution to systems of conservation laws. This book collects 12 contributions from interdisciplinary researchers working in the field of nonlinear water waves.

It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November December 7, The emphasis is put on the correspondence of mathematical procedures to physical phenomena. Section 5 starts with the analysis of levels of nonlinearities and later gives some examples of case studies.

Complexity and simplicity of nonlinear wave motion are briefly by: 3. Nonlinear wave motion and complexity Article (PDF Available) in Proceedings of the Estonian Academy of Sciences 59(2) January with 44 Reads How we measure 'reads'Author: Jüri Engelbrecht.

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.

The Proceedings: Fifth International Conference on Numerical Ship Hydrodynamics () Chapter: Time-Domain Calculation of the Nonlinear Hydrodynamics of Wave-Body Interaction. Washington, DC: The National Academies Press.

doi: / The nonlinear wave motion on deck is dominated by the water depth, deck width, position of rotation pivot, as well as the frequency and amplitude of excitation.

When the excitating frequency is close to the primary resonant frequency, a single bore is generated and it travels.

Wave motion, propagation of disturbances—that is, deviations from a state of rest or equilibrium—from place to place in a regular and organized way. Most familiar are surface waves on water, but both sound and light travel as wavelike disturbances, and the motion of all subatomic particles exhibits.

Nonlinear acoustics (NLA) is a branch of physics and acoustics dealing with sound waves of sufficiently large amplitudes. Large amplitudes require using full systems of governing equations of fluid dynamics (for sound waves in liquids and gases) and elasticity (for sound waves in solids).

These equations are generally nonlinear, and their traditional linearization is no longer possible. Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role.

The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas.

The concepts of the theory of nonlinear waves are briefly analyzed. Two examples are given characterizing the nonlinear effects in wave propagation. The first deals with short-living solitary waves in a dispersive medium and the second with interaction of Author: J.

Engelbrecht, A. Salupere, P. Peterson. This textbook is an introduction to the mathematics of wave phenomena, and is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Further material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate Range: $ - $ Solitons are nonlinear waves.

As a preliminary definition, a soliton is considered as solitary, traveling wave pulse solution of nonlinear partial differential equation (PDE). The nonlinearity will play a significant role. For most dispersive evolution equations these solitary waves would scatter inelastically and lose 'energy' due to the radiation.

Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero.

For example, + −. For a single polynomial equation, root-finding algorithms can be used to find solutions to the equation (i.e., sets of values for the variables that satisfy the equation). However, systems of algebraic .This book provides a thorough, modern introduction to the study of linear and nonlinear waves.

Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models for a. Wave Motion. Cambridge Texts in Applied Mechanics. - J Billingham and A King (Univ of Birmingham, UK).

The nonlinear wave theory with 20th century mathematics are presented. The authors begin in Chapter 7 by examining hyperbolic systems governed by propagation of information on characteristics.

The book also includes an appendix for Cited by: 3.