Soliton Theory and Its Applications
Published on 6. October 1995
Book
Hardback
XII, 403 pages
978-3-540-57112-4 (ISBN)
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, 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.
More details
Edition
1995 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XII, 403 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 28 mm
Weight
793 gr
ISBN-13
978-3-540-57112-4 (9783540571124)
DOI
10.1007/978-3-662-03102-5
Schweitzer Classification
Other editions
Additional editions
Content
1 Soliton Theory and Modern Physics.- 2 Inverse Scattering Methods.- 3 Bäcklund Transformations and Darboux Transformations.- 4 Classical Integrable Systems.- 5 Symmetry.- 6 Kac-Moody Algebras and Integrable Systems.- 7 Soliton and Differential Geometry.- 8 Numerical Study of Nonlinear Waves.- 9 Solitons in the Theory of Gravitational Waves.- References.