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Solitons and Geometry

Out of Print

Part of Lezione Fermiane

Author: S. P. Novikov, Steklov Institute of Mathematics, Moscow

Date Published: March 2009
availability: Unavailable - out of print April 2010
format: Paperback
isbn: 9780521097093

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About the Authors

In this book, Professor Novikov describes recent developments in soliton theory and their relations to so-called Poisson geometry. This formalism, which is related to symplectic geometry, is extremely useful for the study of integrable systems that are described in terms of differential equations (ordinary or partial) and quantum field theories. Professor Novikov examines several Hamiltonian systems, within the framework of Poisson geometry, to demonstrate its power. This book will be of interest to mathematicians and physicists.
- First book on subject
- Eminent author (winner of Fields Medal, equivalent to the 'Nobel Prize for Mathematics')
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Product details
- Date Published: March 2009
- format: Paperback
- isbn: 9780521097093
- length: 64 pages
- dimensions: 244 x 170 x 3 mm
- weight: 0.12kg
- availability: Unavailable - out of print April 2010
Table of Contents
1. Introduction, plan of the lectures, Poisson structures
2. Poisson structures on finite-dimensional manifolds, Hamiltonian systems, completely integrable systems
3. Classical analogue of the Dirac monopole, complete integrability and algebraic geometry
4. Poisson structures on loop spaces, systems of hydrodynamic type and differential geometry
5. Non-linear WKB method, hydrodynamics of weakly deformed soliton lattices
References.
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Author
S. P. Novikov, Steklov Institute of Mathematics, Moscow