By Boling Guo (auth.), Chaohao Gu (eds.)
Soliton conception is a vital department of utilized arithmetic and mathematical physics. An energetic and efficient box of study, it has very important purposes in fluid mechanics, nonlinear optics, classical and quantum fields theories etc..
This booklet offers a vast view of soliton thought. It offers an expository survey of the main easy principles and techniques, corresponding to actual history, inverse scattering, Bäcklund ameliorations, finite-dimensional thoroughly integrable structures, symmetry, Kac-Moody algebra, solitons and differential geometry, numerical research for nonlinear waves, and gravitational solitons. in addition to the basic issues of the speculation, numerous purposes are sketched and a few contemporary advancements, partially through the writer and his collaborators, are presented.
This publication has been written for experts, in addition to for lecturers and scholars in arithmetic and physics.