5 edition of **Nonlinear waves and solitons** found in the catalog.

- 158 Want to read
- 21 Currently reading

Published
**1989**
by KTK Scientific Publishers, Kluwer Academic Publishers in Tokyo, Dordrecht, Boston
.

Written in English

- Nonlinear waves.,
- Solitons.,
- Wave equation -- Numerical solutions.

**Edition Notes**

Statement | by Morikazu Toda. |

Series | Mathematics and its applications. Japanese series, Mathematics and its applications (D. Reidel Publishing Company). |

Classifications | |
---|---|

LC Classifications | QA927 .T6313 1989 |

The Physical Object | |

Pagination | xiv, 371 p. : |

Number of Pages | 371 |

ID Numbers | |

Open Library | OL2199027M |

ISBN 10 | 079230442X |

LC Control Number | 89019802 |

Soliton and nonlinear wave equations. Book. Nonlinear Science at the Dawn of the 21st Century Our results are expected to provide a theoretical basis for the control of dark ring solitons. A discussion of the theory and applications of classical solitons is presented with a brief treatment of quantum mechanical effects which occur in particle physics and quantum field theory. The subjects addressed include: solitary waves and solitons, scattering transforms, the Schroedinger equation and the Korteweg-de Vries equation, and the inverse method for the isospectral Schroedinger Cited by:

Accordingly, they have been observed in disparate settings – as ocean waves, in nonlinear optics, in Bose-Einstein condensates, and in plasmas. Rogue and dispersive shock waves are both characterized by the development of extremes: for the former, the wave amplitude becomes unusually large, while for the latter, gradients reach extreme values. In the last three decades there have been remarkable developments in nonlinear dispersive waves in general, nonlinear water waves in particular, and nonlinear instability phenomena. New solutions are now available for waves modulatedin both space and time, which exhibit new phenomena as diverse as solitons, resonant interactions, side-band Book Edition: 1.

The 2D-VcNLSE is transformed into the (1+1)-nonlinear Schrödinger equation using a similarity transformation. Using the solutions of the (1+1)-nonlinear Schrödinger equation we have obtained some solitons, rogue waves and breather solutions for the 2D-VcNLSE. Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons (KdV) in the nineteenth century. In the s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons 5/5(1).

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This revised and updated second edition of a highly successful book is the only text at this level to embrace a universal approach to three major developments in classical physics; namely nonlinear waves, solitons and chaos.3/5(2). This revised and updated second edition of a highly successful text embraces a universal approach to three major developments in classical physics: namely, nonlinear waves, solitons, and chaos.

The authors include new material on biology and laser theory, and go on to discuss important recent developments such as soliton metamorphosis.3/5(2).

Nonlinear Waves, Solitons and Chaos Currently unavailable. This is the only book at this level to embrace a universal approach to three major developments in classical physics, namely nonlinear waves, solitons and chaos.3/5(2). : Nonlinear Waves, Solitons and Chaos (): Eryk Infeld, George Rowlands: Books/5(2).

Whitham's book on linear (e.g., sine waves) and nonlinear (e.g., solitons and shocks) waves is a very thorough and well written narrative of the various manifestations of the fluctuations we call by: Nonlinear waves, solitons, and chaos Eryk Infeld, George Rowlands This is the only book at this level to embrace a universal approach to three major developments in classical physics, namely nonlinear waves, solitons and chaos.

A comprehensive treatment of instabilities is followed by a study of the nonlinear structures arising from them. Fully revised and updated 2nd edition transparently introduces the theory of nonlinear waves and solitons in the special environment of compact spaces Provides the necessary mathematical framework for treating the manifolds considered with relevant notions from topology and differential geometryBrand: Springer-Verlag Berlin Heidelberg.

This revised and updated second edition of a highly successful book is the only text at this level to embrace a universal approach to three major developments in classical physics; namely nonlinear waves, solitons and by: This revised and updated second edition of a highly successful text embraces a universal approach to three major developments in classical physics: namely, nonlinear waves, solitons, and chaos.

The 5/5(1). Nonlinear Systems, Vol. Nonlinear Systems, Vol. 1 pp | Cite as. Nonlinear Gravitational Waves and SolitonsAuthor: Francisco R. Villatoro. Finally, our study promises to bridge two so far separate research directions involving solitons, the study of solitary waves in fluid dynamics[1, 2] and the research on topological solitons in.

Introduction; 2. Linear waves and instabilities in infinite media; 3. Convective and non-convective instabilities; group velocity in unstable media; 4. A first look at surface waves and instabilities; 5. Model equations for small amplitude waves and solitons; weakly nonlinear theory; 6.

Exact methods for fully nonlinear waves and solitons; 7. Cartesian solitons in one and two space. About this book Introduction The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours.

The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century. In the s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit.

This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The second edition of a highly successful book on nonlinear waves, solitons and chaos.

Nonlinear Waves and Solitons. Author: M. Toda Publisher: Springer Science & Business Media ISBN: Category: Mathematics Page: View: The main purpose of this book is to present the rapidly developing field of Spatial Optical Solitons starting from the basic concepts of light self-focusing and self-trapping.

It will introduce the fundamental concepts of the theory of nonlinear waves and solitons in non-integrated but physically realistic models of nonlinear optics including their stability and dynamics. Nonlinear Waves and Solitons. Authors: Toda, M. Buy this book Hardcover ,39 € price for Spain (gross) Buy Hardcover ISBN ; Free shipping for individuals worldwide; Immediate ebook access* with your print order Book Title Nonlinear Waves and Solitons.

This revised and updated second edition of a highly successful text embraces a universal approach to three major developments in classical physics: namely, nonlinear waves, solitons, and chaos. The authors include new material on biology and laser theory, and go on to discuss important recent Price: $ The main purpose of this book is to present the rapidly developing field of Spatial Optical Solitons starting from the basic concepts of light self-focusing and self-trapping.

It will introduce the fundamental concepts of the theory of nonlinear waves and solitons in non-integrated but physically realistic models of nonlinear optics including.

The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit Cited by: Paperback.

Condition: New. 2nd Revised edition. Language: English. Brand new Book. This revised and updated second edition of a highly successful book is the only text at this level to embrace a universal approach to three major developments in classical physics; namely nonlinear waves, solitons and .Solitons are caused by a cancellation of non-linear and dispersive effects in the medium.

In this book, the authors discuss the interactions and theoretical and experimental challenges of solitons. and non-linear waves in strongly interacting relativistic fluids. Authored by internationally recognized experts on optical solitons, this.