Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras Export

@book{citeulike:1286080, abstract = {This book investigates the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. Chapters discuss the work of M. Sato on the algebraic structure of completely integrable systems, together with developments of these ideas in the work of M. Kashiwara. The text should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to both novice and expert alike.}, author = {Miwa, T. and Jimbo, M. and Date, E.}, citeulike-article-id = {1286080}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0521561612}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/0521561612}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/0521561612}, citeulike-linkout-3 = {http://www.amazon.co.uk/exec/obidos/ASIN/0521561612/citeulike00-21}, citeulike-linkout-4 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0521561612}, citeulike-linkout-5 = {http://www.worldcat.org/isbn/0521561612}, citeulike-linkout-6 = {http://books.google.com/books?vid=ISBN0521561612}, citeulike-linkout-7 = {http://www.amazon.com/gp/search?keywords=0521561612&index=books&linkCode=qs}, citeulike-linkout-8 = {http://www.librarything.com/isbn/0521561612}, howpublished = {Hardcover}, isbn = {0521561612}, keywords = {algebras, differential\_equations, solitons, symmetries}, month = {January}, posted-at = {2007-05-09 19:18:50}, priority = {2}, publisher = {Cambridge University Press}, title = {Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0521561612}, year = {2000} }

TY - BOOK ID - citeulike:1286080 L3 - citeulike-article-id:1286080 N2 - This book investigates the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. Chapters discuss the work of M. Sato on the algebraic structure of completely integrable systems, together with developments of these ideas in the work of M. Kashiwara. The text should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to both novice and expert alike. SN - 0521561612 TI - Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras PB - Cambridge University Press KW - algebras KW - differential_equations KW - solitons KW - symmetries AU - Miwa, T AU - Jimbo, M AU - Date, E PY - 2000/01/13/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0521561612 ER -