Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Solitons Nonlinear Evolution Equations And Inverse Scattering PDF full book. Access full book title Solitons Nonlinear Evolution Equations And Inverse Scattering.
| Author | : Mark J. Ablowitz |
| Publisher | : Cambridge University Press |
| Total Pages | : 532 |
| Release | : 1991-12-12 |
| Genre | : Mathematics |
| ISBN | : 0521387302 |
This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
| Author | : M. J. Ablowitz |
| Publisher | : |
| Total Pages | : 516 |
| Release | : 2000 |
| Genre | : Solitons |
| ISBN | : 9787506247009 |
著者规范译名:克拉克斯。
| Author | : Mark J. Ablowitz |
| Publisher | : |
| Total Pages | : 529 |
| Release | : 1991 |
| Genre | : MATHEMATICS |
| ISBN | : 9781107361614 |
This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
| Author | : M. A. Ablowitz |
| Publisher | : |
| Total Pages | : 532 |
| Release | : 1991 |
| Genre | : Electronic books |
| ISBN | : 9781107366527 |
This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
| Author | : Mark J. Ablowitz |
| Publisher | : SIAM |
| Total Pages | : 433 |
| Release | : 2006-05-15 |
| Genre | : Mathematics |
| ISBN | : 089871477X |
A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localised pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.
| Author | : Mark J Ablowitz |
| Publisher | : World Scientific |
| Total Pages | : 354 |
| Release | : 1987-06-01 |
| Genre | : |
| ISBN | : 9813237953 |
The focus of this volume is to show how the various successful models of nuclear structure complement one another and can be realised as approximations, appropriate in different situations, to an underlying non-relativistic many-nucleon theory of nuclei.In common with the previous volume on Foundational Models, it starts with a broad survey of the relevant nuclear structure data and proceeds with two dominant themes. The first is to review the many-body theories and successful phenomenological models with collective and nucleon degrees of freedom. The second is to show how these models relate to the underlying many-nucleon shell model in its various coupling schemes.
| Author | : Boling Guo |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 376 |
| Release | : 2018-03-19 |
| Genre | : Mathematics |
| ISBN | : 3110549638 |
This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. Contents Introduction Inverse scattering transform Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations Interaction of solitons and its asymptotic properties Hirota method Bäcklund transformations and the infinitely many conservation laws Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum field The theory of soliton movement of superconductive features The soliton movements in condensed state systemsontents
| Author | : V. O. Vakhnenko |
| Publisher | : Cambridge Scholars Publishing |
| Total Pages | : 240 |
| Release | : 2022-02-17 |
| Genre | : Science |
| ISBN | : 1527581470 |
This book shows that the physical phenomena and processes that take place in nature generally have complicated nonlinear features, which leads to nonlinear mathematical models for the real processes. It focuses on the practical issues involved here, as well as the development of methods to investigate the associated nonlinear mathematical problems, including nonlinear wave propagation. It acquaints the reader with a series of methods and approaches that can be applied to a wide class of nonlinear equations. The book also outlines a way in which an uninitiated reader could investigate a new nonlinear equation.
| Author | : Mark J. Ablowitz |
| Publisher | : |
| Total Pages | : 354 |
| Release | : 1987 |
| Genre | : Evolution equations, Nonlinear |
| ISBN | : 9789814542210 |
| Author | : Peter J. Olver |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 220 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461390338 |
This IMA Volume in Mathematics and its Applications SOLITONS IN PHYSICS, MATHEMATICS, AND NONLINEAR OPTICS is based on the proceedings of two workshops which were an integral part of the 1988-89 IMA program on NONLINEAR WAVES. The workshops focussed on the main parts of the theory of solitons and on the applications of solitons in physics, biology and engineering, with a special concentration on nonlinear optics. We thank the Coordinating Committee: James Glimm, Daniel Joseph, Barbara Keyfitz, An Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for drew planning and implementing the stimulating year-long program. We especially thank the Workshop Organizers for Solitons in Physics and Mathematics, Alan Newell, Peter Olver, and David Sattinger, and for Nonlinear Optics and Plasma Physics, David Kaup and Yuji Kodama for their efforts in bringing together many of the major figures in those research fields in which solitons in physics, mathematics, and nonlinear optics theories are used. A vner Friedman Willard Miller, Jr. PREFACE This volume includes some of the lectures given at two workshops, "Solitons in Physics and Mathematics" and "Solitons in Nonlinear Optics and Plasma Physics" held during the 1988-89 LM. A. year on Nonlinear Waves. Since their discovery by Kruskal and Zabusky in the early 1960's, solitons have had a profound impact on many fields, ranging from engineering and physics to algebraic geometry.
