Chaohao Gu

Soliton Theory and Its Applications Chaohao Gu 1st Ed. Softcover of Orig. Ed. 1995 edition

Description for Sales People: 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. The book presents a broad expository view of soliton theory as well as applications and recent developments. Table of Contents: 1 Soliton Theory and Modern Physics.- 2 Inverse Scattering Methods.- 3 Backlund 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."Jacket Description/Back: 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, Backlund 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."