Soliton Theory and Its Applications
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Author
Publication
1995 - Springer Berlin Heidelberg, Berlin, Heidelberg, Germany
Language
English
Word Count
100,750 words, Guess
Page Count
403 pages
Physical Format
[electronic resource] /
Identifiers
- Open LibraryOL27088355M
- ISBN-139783642081774
- ISBN-103642081770
- OCLC Control Number851387204
- OCLC Control Numbersolitontheoryits00guob
Classifications
- DDC515.353
- LCCQA370-380
Description
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, Bäcklund 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 author and his collaborators, are presented. This book has been written for specialists, as well as for teachers and students in mathematics and physics.
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