B Cklund And Darboux Transformations

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Nonlinear Systems And Their Remarkable Mathematical Structures

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Author : Norbert Euler
language : en
Publisher: CRC Press
Release Date : 2021-09-07

Nonlinear Systems And Their Remarkable Mathematical Structures written by Norbert Euler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-07 with Mathematics categories.

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

Ba Cklund Transformations And Their Applications

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Author : Rogers
language : en
Publisher: Academic Press
Release Date : 1982-06-18

Ba Cklund Transformations And Their Applications written by Rogers and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-06-18 with Computers categories.

Ba?cklund Transformations and Their Applications

Frontiers In Differential Geometry Partial Differential Equations And Mathematical Physics In Memory Of Gu Chaohao

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Author : Mo-lin Ge
language : en
Publisher: World Scientific
Release Date : 2014-03-18

Frontiers In Differential Geometry Partial Differential Equations And Mathematical Physics In Memory Of Gu Chaohao written by Mo-lin Ge and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-18 with Mathematics categories.

This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime.All contributors to this book are close friends, colleagues and students of Gu Chaohao. They are all excellent experts among whom there are 9 members of the Chinese Academy of Sciences. Therefore this book will provide some important information on the frontiers of the related subjects.

Rogue Waves

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Author : Boling Guo
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-06-26

Rogue Waves written by Boling Guo and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-26 with Mathematics categories.

This book gives an overview of the theoretical research on rogue waves and discusses solutions to rogue wave formation via the Darboux and bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are included, making the book a comprehensive reference for researchers in applied mathematics, optical physics, geophysics, and ocean engineering. Contents The Research Process for Rogue Waves Construction of Rogue Wave Solution by the Generalized Darboux Transformation Construction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering Method The Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model

Balkan Journal Of Geometry And Its Applications

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Author :
language : en
Publisher:
Release Date : 2004

Balkan Journal Of Geometry And Its Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Geometry categories.

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Author :
language : zh-CN
Publisher:
Release Date : 2003

written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Engineering categories.

Integrable Systems Nankai Lectures On Mathematical Physics 1987

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Author : Xing-chang Song
language : en
Publisher: World Scientific
Release Date : 1989-11-01

Integrable Systems Nankai Lectures On Mathematical Physics 1987 written by Xing-chang Song and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-11-01 with categories.

This workshop is part of a series of annual workshops organised by the Nankai Institute of Mathematics. Prominent scientists from abroad are invited to deliver the main lectures.

Darboux Transformations In Integrable Systems

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Author : Chaohao Gu
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-09

Darboux Transformations In Integrable Systems written by Chaohao Gu 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 2006-07-09 with Science categories.

The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential geometry. This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in multi-dimensional cases, can be elucidated clearly. The method covers a series of important equations such as various kinds of AKNS systems in R1+n, harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations to higher dimensional case, theory of line congruences in three dimensions or higher dimensional space etc. All these cases are explained in detail. This book contains many results that were obtained by the authors in the past few years. Audience: The book has been written for specialists, teachers and graduate students (or undergraduate students of higher grade) in mathematics and physics.

Soliton Theory And Its Applications

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Author : Chaohao Gu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Soliton Theory And Its Applications written by Chaohao Gu 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 2013-03-14 with Mathematics categories.

Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlünd transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves, and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the authors and their collaborators, are presented.

The Direct Method In Soliton Theory

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Author : Ryogo Hirota
language : en
Publisher: Cambridge University Press
Release Date : 2004-07-22

The Direct Method In Soliton Theory written by Ryogo Hirota 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 2004-07-22 with Mathematics categories.

The bilinear, or Hirota's direct, method was invented in the early 1970s as an elementary means of constructing soliton solutions that avoided the use of the heavy machinery of the inverse scattering transform and was successfully used to construct the multisoliton solutions of many new equations. In the 1980s the deeper significance of the tools used in this method - Hirota derivatives and the bilinear form - came to be understood as a key ingredient in Sato's theory and the connections with affine Lie algebras. The main part of this book concerns the more modern version of the method in which solutions are expressed in the form of determinants and pfaffians. While maintaining the original philosophy of using relatively simple mathematics, it has, nevertheless, been influenced by the deeper understanding that came out of the work of the Kyoto school. The book will be essential for all those working in soliton theory.