A Nonlinear Progress to Modern Soliton Theory

A Nonlinear Progress to Modern Soliton Theory
Author :
Publisher : Cambridge Scholars Publishing
Total Pages : 166
Release :
ISBN-10 : 9781527591554
ISBN-13 : 1527591557
Rating : 4/5 (557 Downloads)

Book Synopsis A Nonlinear Progress to Modern Soliton Theory by : Colin Rogers

Download or read book A Nonlinear Progress to Modern Soliton Theory written by Colin Rogers and published by Cambridge Scholars Publishing. This book was released on 2022-12-06 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a historical account of the discovery in 1834 of a remarkable singular wave that was ultimately to lead to the development of modern soliton theory with its diverse physical applications. In terms of associated geometry, the classical work of Bäcklund and Bianchi and its consequences is recounted, notably with regard to nonlinear superposition principles, which later were shown to be generic to soliton systems and which provide the analytic description of complex multi-soliton interaction. Whereas the applications of modern soliton in certain areas of physics are well-documented, deep connections between soliton theory and nonlinear continuum mechanics have had a separate development. This book describes wide applications in such disparate areas as elastostatics, elastodynamics, superelasticity, shell theory, magnetohydrostatics and magnetohydrodynamics, and will appeal to research scientists and advanced students with an interest in integrable systems in nonlinear physics or continuum mechanics.


A Nonlinear Progress to Modern Soliton Theory Related Books

A Nonlinear Progress to Modern Soliton Theory
Language: en
Pages: 166
Authors: Colin Rogers
Categories: Mathematics
Type: BOOK - Published: 2022-12-06 - Publisher: Cambridge Scholars Publishing

GET EBOOK

This book provides a historical account of the discovery in 1834 of a remarkable singular wave that was ultimately to lead to the development of modern soliton
Soliton Theory and Its Applications
Language: en
Pages: 414
Authors: Chaohao Gu
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

GET EBOOK

Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications
Nonlinear Systems, Vol. 1
Language: en
Pages: 428
Authors: Victoriano Carmona
Categories: Science
Type: BOOK - Published: 2018-09-15 - Publisher: Springer

GET EBOOK

This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science
Topological Solitons
Language: en
Pages: 507
Authors: Nicholas Manton
Categories: Science
Type: BOOK - Published: 2004-06-10 - Publisher: Cambridge University Press

GET EBOOK

Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples
Nonlinear Periodic Waves and Their Modulations
Language: en
Pages: 399
Authors: Anatoli? Mikha?lovich Kamchatnov
Categories: Science
Type: BOOK - Published: 2000 - Publisher: World Scientific

GET EBOOK

Although the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especi