Solitons in Molecular Systems, Davydov

Автор: Davydov
Название: Solitons in Molecular Systems
ISBN: 940173027X ISBN-13(EAN): 9789401730273
Издательство: Springer
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Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory;

Автор: Thierry Dauxois
Название: Physics of Solitons
ISBN: 0521854210 ISBN-13(EAN): 9780521854214
Издательство: Cambridge Academ
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Описание: Solitons are exceptionally stable standing waves which appear in many areas of physics. This textbook introduces the basic properties of solitons using examples from macroscopic physics before presenting the main theoretical methods. It gives an instructive view of the physics of solitons, and their applications, for advanced students of physics.

Автор: Andrei Ludu
Название: Nonlinear Waves and Solitons on Contours and Closed Surfaces
ISBN: 3642091962 ISBN-13(EAN): 9783642091964
Издательство: Springer
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Описание: The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours. The second and third parts discuss the modeling of various physical solitons on compact systems.

Автор: Nail Akhmediev; Adrian Ankiewicz
Название: Dissipative Solitons: From Optics to Biology and Medicine
ISBN: 3642096875 ISBN-13(EAN): 9783642096877
Издательство: Springer
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Описание: The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s; These three sources also correspond to the three component parts of this novel paradigm.

Автор: Andrei Ludu
Название: Nonlinear Waves and Solitons on Contours and Closed Surfaces
ISBN: 3642440517 ISBN-13(EAN): 9783642440519
Издательство: Springer
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Описание: Extensively revised, expanded and updated for the new edition, this book offers a comprehensive introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours.

Автор: Michel Remoissenet
Название: Waves Called Solitons
ISBN: 3642085199 ISBN-13(EAN): 9783642085192
Издательство: Springer
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Описание: In the third edition the presentation of new topics has been deliberately kept simple for pedagogical purposes. Chapter 1 was completed by references to the tidal bore and magnetic envelope solitons. Two new sections devoted to magnetic envelope solitons and signal processing with solitons have been added to Chap. 4. Short comments on models describing blood-pressure pulse propagation in terms of solitons were added to chapter 5. A description of a new mechanical transmission line with two equilibrium states has been included in Chap. 6. Such an analog device is useful to illustrate the properties of kink-solitons and to observe solitary waves with a compact shape, called compactons. New references conceming recent advances in experimental techniques and lattice effects were added to Chap. 7. In Chap. 8 a short introduction to spatial optical solitons in continuous and discrete systems was included. Chapter 9 was completed by new sections devoted to nonlinear lattice models and energy localization. The concepts of self-trapped states and intrinsic localized modes or discrete breathers are dicussed. Different analog chains which make it possible to observe the characteristic features of discrete breathers, are described. Contrary to previous chapters where we have considered reversible or conservative systems where solitons can exist owing to the dynamical balance between linear dispersion and nonlinearity, Chapter 11 which is a new chapter, is devoted to irreversible systems where nonlinearity can balance the effects of dissipation leading to "diffusing solitary waves" or "diffusive solitons."

Автор: R. MacKenzie; M.B. Paranjape; W.J. Zakrzewski
Название: Solitons
ISBN: 0387988955 ISBN-13(EAN): 9780387988955
Издательство: Springer
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Описание: Solitons were discovered by John Scott Russel in 1834, and have interested scientists and mathematicians ever since. Topics covered include mathematical and numerical aspects of solitons, as well as applications of solitons to nuclear and particle physics, cosmology, and condensed-matter physics.