Direct and Inverse Methods in Nonlinear Evolution Equations: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5-12, 1999 2003 Edition Contributor(s): Conte, Robert M. (Author), Greco, Antonio Maria (Editor), Magri, Franco (Author) |
|
ISBN: 3540200878 ISBN-13: 9783540200871 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: October 2003 |
Additional Information |
BISAC Categories: - Science | Physics - Mathematical & Computational - Mathematics | Differential Equations - General - Mathematics | Geometry - Differential |
Dewey: 515.353 |
LCCN: 2003055841 |
Series: Lecture Notes in Physics |
Physical Information: 0.69" H x 6.14" W x 9.21" (1.30 lbs) 279 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Many physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities la Painlev , Lie symmetries leaving the equation invariant, extension of the Hirota method, construction of the nonlinear superposition formula. The main inverse method described here relies on the bi-hamiltonian structure of integrable equations. The book also presents some extension to equations with discrete independent and dependent variables. |