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Soliton Theory and Its Applications

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 027/5 ( reviews)

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Book Synopsis Soliton Theory and Its Applications by : Chaohao Gu

Download or read book Soliton Theory and Its Applications written by Chaohao Gu. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications in fluid mechanics, nonlinear optics, classical and quantum fields theories etc. This book presents a broad view of soliton theory. It gives an expository survey of the most basic ideas and methods, such as physical background, inverse scattering, Backlünd transformations, finite-dimensional completely integrable systems, symmetry, Kac-moody algebra, solitons and differential geometry, numerical analysis for nonlinear waves, and gravitational solitons. Besides the essential points of the theory, several applications are sketched and some recent developments, partly by the authors and their collaborators, are presented.

Glimpses of Soliton Theory

2010 Mathematics
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Release : 2010
Genre : Mathematics
Kind : eBook
Book Rating : 450/5 ( reviews)

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Book Synopsis Glimpses of Soliton Theory by : Alex Kasman

Download or read book Glimpses of Soliton Theory written by Alex Kasman. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. --

The Direct Method in Soliton Theory

2004-07-22 Mathematics
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Release : 2004-07-22
Genre : Mathematics
Kind : eBook
Book Rating : 609/5 ( reviews)

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Book Synopsis The Direct Method in Soliton Theory by : Ryogo Hirota

Download or read book The Direct Method in Soliton Theory written by Ryogo Hirota. This book was released on 2004-07-22. Available in PDF, EPUB and Kindle. Book excerpt: Account of method of solving soliton equations by the inventor of the method.

Theory of Solitons

1984-05-31 Mathematics
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Release : 1984-05-31
Genre : Mathematics
Kind : eBook
Book Rating : 775/5 ( reviews)

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Book Synopsis Theory of Solitons by : S. Novikov

Download or read book Theory of Solitons written by S. Novikov. This book was released on 1984-05-31. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Soliton Theory: Applications to Mechanics

2006-07-06 Mathematics
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Release : 2006-07-06
Genre : Mathematics
Kind : eBook
Book Rating : 777/5 ( reviews)

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Book Synopsis Introduction to Soliton Theory: Applications to Mechanics by : Ligia Munteanu

Download or read book Introduction to Soliton Theory: Applications to Mechanics written by Ligia Munteanu. This book was released on 2006-07-06. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is planned to provide the application of the soliton theory to solve certain practical problems selected from the fields of solid mechanics, fluid mechanics and biomechanics. The work is based mainly on the authors’ research carried out at their home institutes, and on some specified, significant results existing in the published literature. The methodology to study a given evolution equation is to seek the waves of permanent form, to test whether it possesses any symmetry properties, and whether it is stable and solitonic in nature. Students of physics, applied mathematics, and engineering are usually exposed to various branches of nonlinear mechanics, especially to the soliton theory. The soliton is regarded as an entity, a quasi-particle, which conserves its character and interacts with the surroundings and other solitons as a particle. It is related to a strange phenomenon, which consists in the propagation of certain waves without attenuation in dissipative media. This phenomenon has been known for about 200 years (it was described, for example, by the Joule Verne's novel Les histoires de Jean Marie Cabidoulin, Éd. Hetzel), but its detailed quantitative description became possible only in the last 30 years due to the exceptional development of computers. The discovery of the physical soliton is attributed to John Scott Russell. In 1834, Russell was observing a boat being drawn along a narrow channel by a pair of horses.

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