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Author : Junaid Idrees Mustafa
Publisher :
Page : pages
File Size : 26,14 MB
Release : 2019
Category :
ISBN :
Author : Amal Jasim Mohammed
Publisher :
Page : pages
File Size : 16,39 MB
Release : 2018
Category :
ISBN :
Author : Demetrios Christodoulides
Publisher : Springer
Page : 579 pages
File Size : 11,12 MB
Release : 2018-11-28
Category : Science
ISBN : 9811312478
This book offers a comprehensive review of the state-of-the-art theoretical and experimental advances in linear and nonlinear parity-time-symmetric systems in various physical disciplines, and surveys the emerging applications of parity-time (PT) symmetry. PT symmetry originates from quantum mechanics, where if the Schrodinger operator satisfies the PT symmetry, then its spectrum can be all real. This concept was later introduced into optics, Bose-Einstein condensates, metamaterials, electric circuits, acoustics, mechanical systems and many other fields, where a judicious balancing of gain and loss constitutes a PT-symmetric system. Even though these systems are dissipative, they exhibit many signature properties of conservative systems, which make them mathematically and physically intriguing. Important PT-symmetry applications have also emerged. This book describes the latest advances of PT symmetry in a wide range of physical areas, with contributions from the leading experts. It is intended for researchers and graduate students to enter this research frontier, or use it as a reference book.
Author : Norbert Euler
Publisher : CRC Press
Page : 367 pages
File Size : 31,80 MB
Release : 2021-09-07
Category : Mathematics
ISBN : 1000423301
The third volume in this sequence of books consists of a collection of contributions that aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 3, Contributions from China just like the first two volumes, consists of contributions by world-leading experts in the subject of nonlinear systems, but in this instance only featuring contributions by leading Chinese scientists who also work in China (in some cases in collaboration with western scientists). Features Clearly illustrate the mathematical theories of nonlinear systems and its progress to both the non-expert and active researchers in this area Suitable for graduate students in Mathematics, Applied Mathematics and some of the Engineering sciences Written in a careful pedagogical manner by those experts who have been involved in the research themselves, and each contribution is reasonably self-contained
Author : Panayotis G. Kevrekidis
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 15,84 MB
Release : 2009-07-07
Category : Science
ISBN : 3540891994
This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes.
Author : Krassimir Georgiev
Publisher : Springer
Page : 261 pages
File Size : 29,63 MB
Release : 2017-02-06
Category : Technology & Engineering
ISBN : 3319495445
This book presents recent research on Advanced Computing in Industrial Mathematics, which is one of the most prominent interdisciplinary areas and combines mathematics, computer science, scientific computations, engineering, physics, chemistry, medicine, etc. Further, the book presents the tools of Industrial Mathematics, which are based on mathematical models, and the corresponding computer codes, which are used to perform virtual experiments to obtain new data or to better understand the existing experimental results. The book gathers the peer-reviewed papers presented during the 10th Annual Meeting of the Bulgarian Section of SIAM (BGSIAM) from December 21 to 22, 2015 in Sofia, Bulgaria.
Author : Boris A. Malomed
Publisher : Springer Science & Business Media
Page : 188 pages
File Size : 47,94 MB
Release : 2006-07-06
Category : Science
ISBN : 0387293345
During the past ten years, there has been intensive development in theoretical and experimental research of solitons in periodic media. This book provides a unique and informative account of the state-of-the-art in the field. The volume opens with a review of the existence of robust solitary pulses in systems built as a periodic concatenation of very different elements. Among the most famous examples of this type of systems are the dispersion management in fiber-optic telecommunication links, and (more recently) photonic crystals. A number of other systems belonging to the same broad class of spatially periodic strongly inhomogeneous media (such as the split-step and tandem models) have recently been identified in nonlinear optics, and transmission of solitary pulses in them was investigated in detail. Similar soliton dynamics occurs in temporal-domain counterparts of such systems, where they are subject to strong time-periodic modulation (for instance, the Feshbach-resonance management in Bose-Einstein condensates). Basis results obtained for all these systems are reviewed in the book. This timely work will serve as a useful resource for the soliton community.
Author : Ryogo Hirota
Publisher : Cambridge University Press
Page : 220 pages
File Size : 14,40 MB
Release : 2004-07-22
Category : Mathematics
ISBN : 9780521836609
Account of method of solving soliton equations by the inventor of the method.
Author : M. J. Ablowitz
Publisher : Cambridge University Press
Page : 276 pages
File Size : 27,15 MB
Release : 2004
Category : Mathematics
ISBN : 9780521534376
This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.
Author : Spyridon Kamvissis
Publisher : Princeton University Press
Page : 281 pages
File Size : 14,16 MB
Release : 2003-09-07
Category : Mathematics
ISBN : 069111482X
Providing an asymptotic analysis via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime, this text exploits complete integrability to establish pointwise asymptotics for this problem's solution.