Introduction to Soliton Theory: Applications to Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Soliton Theory: Applications to Mechanics write by Ligia Munteanu. This book was released on 2006-07-06. Introduction to Soliton Theory: Applications to Mechanics available in PDF, EPUB and Kindle. 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.
Solitons
Solitons - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solitons write by Muthusamy Lakshmanan. This book was released on 2012-12-06. Solitons available in PDF, EPUB and Kindle. A good deal of the material presented in this book has been prepared by top experts in the field lecturing in January 1987 at the Winter School on Solitons in Tiruchirapalli,India. The lectures begin at an elementary level but go on to include even the most recent developments in the field. The book makes a handy introduction to the various facets of the soliton concept, and will be useful both to newcomers to the field and to researchers who are interested in developments in new branches of physics and mathematics.
Soliton Theory and Its Applications
Soliton Theory and Its Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Soliton Theory and Its Applications write by Chaohao Gu. This book was released on 2013-03-14. Soliton Theory and Its Applications available in PDF, EPUB and Kindle. 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.
Solitons
Solitons - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solitons write by P. G. Drazin. This book was released on 1989-02-09. Solitons available in PDF, EPUB and Kindle. This textbook is an introduction to the theory of solitons in the physical sciences.
Soliton Theory
Soliton Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Soliton Theory write by Allan P. Fordy. This book was released on 1990. Soliton Theory available in PDF, EPUB and Kindle. A coherent introduction to the complete range of soliton theory including Hirota's method and Backlund transformations. Details physical applications of soliton theory with chapters on the peculiar wave patterns of the Andaman Sea, atmospheric phenomena, general relativity and Davydov solitons. Contains testing for full integrability, a discussion of the Painlevé technique, symmetries and conservation law.
