Solitons, R.K. Bullough; P.J. Caudrey

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: A.R. Bishop; T. Schneider
Название: Solitons and Condensed Matter Physics
ISBN: 3642812937 ISBN-13(EAN): 9783642812934
Издательство: Springer
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Описание: Nonl inear ideas of a "sol iton" variety have been a unifying influence on the na tura 1 sci ences for many decades. HO /ever, thei r uni versa 1 a pprec i at i on in the physics community as a genuine paradigm is very much a current develop- ment. All of us who have been associated with this recent wave of enthusiasm were impressed with the variety of applications, their inevitability once the mental contraint of linear normal modes is removed, and above all by the common mathematical structures underpinning applications with quite different (and often novel) physical manifestations. This has certainly been the situ- ation in condensed matter, and when, during the Paris Lattice Dynamics Con- ference (September 1977), one of us (T. S. ) first suggested a condensed matter soliton Meeting, the idea was strongly encouraged. It would provide an opportunity to exhibit the common mathematical problems, illuminate the new contexts, and thereby focus the "subject" of nonlinear physics at this embryonic stage of its evolution. The original conception was to achieve a balance of mathematicians and phy cis such that each would benefit from the other's expertise and out- look. In contrast to many soliton Meetings, hO /ever, a deliberate attempt was made to emphasize physics contexts rather than mathematical details.

Автор: Peter J. Olver; David H. Sattinger
Название: Solitons in Physics, Mathematics, and Nonlinear Optics
ISBN: 1461390354 ISBN-13(EAN): 9781461390350
Издательство: Springer
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Описание: This IMA Volume in Mathematics and its Applications SOLITONS IN PHYSICS, MATHEMATICS, AND NONLINEAR OPTICS is based on the proceedings of two workshops which were an integral part of the 1988-89 IMA program on NONLINEAR WAVES.