Soliton Theory and Its Applications
By: edited by Chaohao Gu
Publisher: Springer Berlin Heidelberg
Published: 1995
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 403
ISBN-13: 9783642081774; 9783662031025
Subjects: Mathematics; Differential equations, partial; Numerical analysis
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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