Existence Of A Solution To The Discrete Nonlinear Schr Dinger Equation
DOWNLOAD
Download Existence Of A Solution To The Discrete Nonlinear Schr Dinger Equation PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Existence Of A Solution To The Discrete Nonlinear Schr Dinger Equation book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Existence Of A Solution To The Discrete Nonlinear Schr Dinger Equation
DOWNLOAD
Author : Santhosh Heddese
language : en
Publisher:
Release Date : 2004
Existence Of A Solution To The Discrete Nonlinear Schr Dinger Equation written by Santhosh Heddese and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
The Discrete Nonlinear Schr Dinger Equation
DOWNLOAD
Author : Panayotis G. Kevrekidis
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-07
The Discrete Nonlinear Schr Dinger Equation written by Panayotis G. Kevrekidis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-07 with Science categories.
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.
Discrete And Continuous Nonlinear Schr Dinger Systems
DOWNLOAD
Author : M. J. Ablowitz
language : en
Publisher: Cambridge University Press
Release Date : 2004
Discrete And Continuous Nonlinear Schr Dinger Systems written by M. J. Ablowitz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
In recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the associated development of a method of solution to a class of nonlinear wave equations termed the inverse scattering transform (IST). Before these developments, very little was known about the solutions to such 'soliton equations'. The IST technique applies to both continuous and discrete nonlinear Schrödinger equations of scalar and vector type. Also included is the IST for the Toda lattice and nonlinear ladder network, which are well-known discrete systems. This book, first published in 2003, presents the detailed mathematical analysis of the scattering theory; soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Much of the material is not available in the previously-published literature.
Handbook Of Exact Solutions To The Nonlinear Schrodinger Equations
DOWNLOAD
Author : Usama Al Khawaja
language : en
Publisher: IOP Publishing Limited
Release Date : 2024-09-30
Handbook Of Exact Solutions To The Nonlinear Schrodinger Equations written by Usama Al Khawaja and has been published by IOP Publishing Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-30 with Science categories.
This book aims to organise and centralise existing solutions of the nonlinear Schrödinger equation (NLSE). This expanded second edition contains new solutions published or derived since the first edition. Noting the increasing interest in and applications of the fractional nonlinear Schrödinger equation, a new chapter devoted to this topic has been added.
The Nonlinear Schr Dinger Equation
DOWNLOAD
Author : Gadi Fibich
language : en
Publisher: Springer
Release Date : 2015-03-06
The Nonlinear Schr Dinger Equation written by Gadi Fibich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-06 with Mathematics categories.
This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schrödinger equation. With great care and detail, it develops the subject including the mathematical and physical background and the history of the subject. It combines rigorous analysis, asymptotic analysis, informal arguments, numerical simulations, physical modelling, and physical experiments. It repeatedly emphasizes the relations between these approaches, and the intuition behind the results. The Nonlinear Schrödinger Equation will be useful to graduate students and researchers in applied mathematics who are interested in singular solutions of partial differential equations, nonlinear optics and nonlinear waves, and to graduate students and researchers in physics and engineering who are interested in nonlinear optics and Bose-Einstein condensates. It can be used for courses on partial differential equations, nonlinear waves, and nonlinear optics. Gadi Fibich is a Professor of Applied Mathematics at Tel Aviv University. “This book provides a clear presentation of the nonlinear Schrodinger equation and its applications from various perspectives (rigorous analysis, informal analysis, and physics). It will be extremely useful for students and researchers who enter this field.” Frank Merle, Université de Cergy-Pontoise and Institut des Hautes Études Scientifiques, France
Minimax Methods In Critical Point Theory With Applications To Differential Equations
DOWNLOAD
Author : Paul H. Rabinowitz
language : en
Publisher: American Mathematical Soc.
Release Date : 1986-07-01
Minimax Methods In Critical Point Theory With Applications To Differential Equations written by Paul H. Rabinowitz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-07-01 with Mathematics categories.
The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. An expanded version of the author's 1984 CBMS lectures, this volume is the first monograph devoted solely to these topics. Among the abstract questions considered are the following: the mountain pass and saddle point theorems, multiple critical points for functionals invariant under a group of symmetries, perturbations from symmetry, and variational methods in bifurcation theory. The book requires some background in functional analysis and differential equations, especially elliptic partial differential equations. It is addressed to mathematicians interested in differential equations and/or nonlinear functional analysis, particularly critical point theory.
Nonlinear Klein Gordon And Schrodinger Systems Theory And Applications
DOWNLOAD
Author : Luis Vazquez
language : en
Publisher: World Scientific
Release Date : 1996-06-20
Nonlinear Klein Gordon And Schrodinger Systems Theory And Applications written by Luis Vazquez and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-20 with categories.
This is the first of two Euroconferences aimed at addressing the issues of Nonlinearity and Disorder. The 1995 Euroconference was devoted to the mathematical, numerical and experimental studies related to the Klein-Gordon and Schrödinger systems. The Euroconference was organized around main lectures in each area to introduce the main concepts and stimulate discussions. The mathematical studies covered the functional anlaysis and stochastic techniques applied to the general Klein-Gordon and Schrödinger wave equations. Also a panoramic view of the numerical schemes was presented to simulate the above equations, as well as an overview of the applications of such systems in the areas of condensed matter, optical physics, new materials and biophysics. Special attention was devoted to the discrete Schrödinger and Klein-Gordon systems and their applications.
Nonlinear Physics Theory And Experiment Nature Structure And Properties Of Nonlinear Phenomena Proceedings Of The First Conference
DOWNLOAD
Author : Eleonora Alfinito
language : en
Publisher: World Scientific
Release Date : 1996-06-20
Nonlinear Physics Theory And Experiment Nature Structure And Properties Of Nonlinear Phenomena Proceedings Of The First Conference written by Eleonora Alfinito and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-20 with categories.
This volume constitutes the proceedings of the Workshop 'Nonlinear Physics. Theory and Experiment' held in Gallipoli (Lecce, Italy) from June 29 to July 7, 1995.The purpose of the Workshop was to bring together scientists whose common interest is the nature, structure and properties of nonlinear phenomena in various areas of physics and applied mathematics.The purpose of the Workshop was to bring together scientists whose common interest is the nature, structure and properties of nonlinear phenomena in various areas of physics and applied mathematics.In fact, topics covered at the Workshop run from nonlinear optics to molecular dynamics, plasma waves, hydrodynamics, quantum electronics and solid state, and from inverse scattering transform methods to dynamical systems including integrability, hamiltonian structures, geometrical aspects, turbulence and chaos.
The Fractional Laplacian
DOWNLOAD
Author : Wenxiong Chen
language : en
Publisher: World Scientific
Release Date : 2020-06-09
The Fractional Laplacian written by Wenxiong Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-09 with Mathematics categories.
This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which researchers would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, direct blowing up and rescaling arguments, and so on. Different from most other books, it emphasizes on illuminating the ideas behind the formal concepts and proofs, so that readers can quickly grasp the essence.
Quantitative Logic And Soft Computing
DOWNLOAD
Author : Bing-Yuan Cao
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-14
Quantitative Logic And Soft Computing written by Bing-Yuan Cao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-14 with Technology & Engineering categories.
Admittedly, the notion “intelligence or intelligent computing” has been around us for several decades, implicitly indicating any non-conventional methods of solving complex system problems such as expert systems and intelligent control techniques that mimic human skill and replace human operators for automation. Various kinds of intelligent methods have been suggested, phenomenological or ontological, and we have been witnessing quite successful applications. On the other hand, “Soft Computing Techniques” is the concept coined by Lot? Zadeh, referring to “a set of approaches of computing which parallels the remarkable ability of the human mind to reason and learn in an environment of uncertainty, imprecision and partial truth. ” Such a notion is well contrasted with the conventionalbinary logic based hard c- puting and has been effectively utilized with the guiding principle of “exploiting the tolerance for uncertainty,imprecision and partial truth to achieve tractability, - bustness and low solution cost. ” The soft computing techniques are often employed as the technical entities in a tool box with tools being FL, ANN, Rough Set, GA etc. Based on one’s intuition and experience, an engineer can build and realize hum- like systems by smartly mixing proper technical tools effectivelyand ef?ciently in a wide range of ?elds. For some time, the soft computing techniques are also referred to as intelligent computing tools.