Geometric and Algebraic Structures in Differential Equations

I. S. Krasil'Shchik

ISBN 10: 9401065659 / ISBN 13: 9789401065658

Published by Springer Netherlands, 2011

About this Item

Druck auf Anfrage Neuware - Printed after ordering - The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Korteweg-de Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability. Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics. In 1993, a workshop on algebra and geometry of differential equations took place at the University of Twente (The Netherlands), where the state-of-the-art of the main problems was fixed. This book contains a collection of invited lectures presented at this workshop. The material presented is of interest to those who work in pure and applied mathematics and especially in mathematical physics.

Seller Inventory # 9789401065658

Bibliographic Details

• Title: Geometric and Algebraic Structures in Differential Equations
• Publisher: Springer Netherlands
• Publication Date: 2011
• Language: English
• ISBN 10: 9401065659
• ISBN 13: 9789401065658
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 160H x 20D millimeters 240 millimeters width by 160 millimeters height by 20 millimeters depth
• Weight: 569 grams

About this title

Synopsis

The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Korteweg-de Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability.
Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics.
In 1993, a workshop on algebra and geometry of differential equations took place at the University of Twente (The Netherlands), where the state-of-the-art of the main problems was fixed. This book contains a collection of invited lectures presented at this workshop. The material presented is of interest to those who work in pure and applied mathematics and especially in mathematical physics.