Solitons in Two-Dimensional Shallow Water, Yuji Kodama

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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Цена: 93160.00 T
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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: Yakov M. Shnir
Название: Topological and Non-Topological Solitons in Scalar Field Theories
ISBN: 1108429912 ISBN-13(EAN): 9781108429917
Издательство: Cambridge Academ
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Цена: 132000.00 T
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Описание: An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.

Автор: Michel Remoissenet
Название: Waves Called Solitons
ISBN: 3642085199 ISBN-13(EAN): 9783642085192
Издательство: Springer
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Цена: 87060.00 T
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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: Ablowi
Название: Solitons And The Inverse Scattering Transform
ISBN: 0898711746 ISBN-13(EAN): 9780898711745
Издательство: Mare Nostrum (Eurospan)
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Цена: 102830.00 T
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Описание: A study of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas.

Автор: Tetsu Mizumachi
Название: Stability of Line Solitons for the KP-II Equation in R²
ISBN: 1470414244 ISBN-13(EAN): 9781470414245
Издательство: Mare Nostrum (Eurospan)
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Цена: 75770.00 T
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Описание: The author proves nonlinear stability of line soliton solutions of the KP-II equation with respect to transverse perturbations that are exponentially localized as y??. He finds that the amplitude of the line soliton converges to that of the line soliton at initial time whereas jumps of the local phase shift of the crest propagate in a finite speed toward y=+/-?.

Автор: R. MacKenzie; M.B. Paranjape; W.J. Zakrzewski
Название: Solitons
ISBN: 1461270634 ISBN-13(EAN): 9781461270638
Издательство: Springer
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Цена: 93160.00 T
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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.

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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Цена: 97820.00 T
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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: Davydov
Название: Solitons in Molecular Systems
ISBN: 0792310292 ISBN-13(EAN): 9780792310297
Издательство: Springer
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Цена: 102480.00 T
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Описание: 'Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematicsis a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics seIVe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One seIVice topology has rendered mathematical physics ...'; 'One service logic has rendered com- puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.