Author : Mark J. Ablowitz
Publisher : Cambridge University Press
Page : 532 pages
File Size : 45,83 MB
Release : 1991-12-12
Category : 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 :
Page : 516 pages
File Size : 17,85 MB
Release : 2000
Category : Solitons
ISBN : 9787506247009
著者规范译名:克拉克斯。
Author : Robert M. Miura
Publisher : Springer
Page : 302 pages
File Size : 24,78 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540382208
Proceedings of the NSF Research Workshop on Contact Transformations, Held in Nashville, Tennessee, 1974
Author : Mark J. Ablowitz
Publisher :
Page : 529 pages
File Size : 22,4 MB
Release : 1991
Category : 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 : Mark J. Ablowitz
Publisher : SIAM
Page : 433 pages
File Size : 31,23 MB
Release : 2006-05-15
Category : 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 : M. A. Ablowitz
Publisher :
Page : 532 pages
File Size : 12,9 MB
Release : 1991
Category : 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 : Benno Fuchssteiner
Publisher : World Scientific Publishing Company Incorporated
Page : 342 pages
File Size : 34,81 MB
Release : 1987-01-01
Category : Differential equations, Nonlinear
ISBN : 9789971502539
Author : R.K. Bullough
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 22,99 MB
Release : 2013-11-11
Category : Science
ISBN : 3642814484
With contributions by numerous experts
Author : Boling Guo
Publisher : Walter de Gruyter GmbH & Co KG
Page : 463 pages
File Size : 15,11 MB
Release : 2018-03-19
Category : Mathematics
ISBN : 3110549417
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 : Lokenath Debnath
Publisher : CUP Archive
Page : 376 pages
File Size : 15,74 MB
Release : 1983-12-30
Category : Mathematics
ISBN : 9780521254687
The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.
