Format:
1 online resource (x, 155 pages)
ISBN:
9781527591554
Content:
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.
Content:
Intro -- Contents -- Preface -- Acknowledgements -- Chapter I -- Chapter II -- Chapter III -- Chapter IV -- Chapter V -- Chapter VI -- Chapter VII -- Chapter VIII -- Chapter IX -- Chapter X -- Chapter XI -- Chapter XII -- Chapter XIII -- Chapter XIV -- Chapter XV -- Chapter XVI -- Bibliography -- Appendix -- Index.
Note:
Description based on publisher supplied metadata and other sources
Additional Edition:
ISBN 9781527591547
Additional Edition:
Erscheint auch als Druck-Ausgabe Rogers, Colin A nonlinear progress to modern soliton theory Newcastle upon Tyne : Cambridge Scholars Publishing, 2023 ISBN 9781527591547
Additional Edition:
ISBN 1527591549
Language:
English
Keywords:
Soliton
;
Bäcklund-Transformation
;
Nichtlineare Kontinuumsmechanik
;
Painlevé-Gleichung
;
Nichtlineare Evolutionsgleichung
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