Download or read book Nonlinear Waves and Solitons on Contours and Closed Surfaces written by Andrei Ludu and published by Springer Science & Business Media. This book was released on 2007-09-09 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours. The first part of the book introduces the mathematical concept required for treating the manifolds considered. An introduction to the theory of motion of curves and surfaces is given. The second and third parts discuss the modeling of various physical solitons on compact systems.