Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics) by Alexander V. Razumov

Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics) Author: Alexander V. Razumov
eBook Title: Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics)
ISBN10: 0521479231
ISBN13: 978-0521479233
Language: English
Publisher: Cambridge University Press; 1 edition (May 28, 1997)
Category: Science & Math
Subcategory: Mathematics
Size ePub vers.: 1636 kb
Size PDF vers.: 1605 kb
Other formats: cb7, odf, pdf, azw, ibooks, mobi
Rating: 4.2
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Devoted to an important and popular branch of modern theoretical and mathematical physics, this book introduces the use of Lie algebra and differential geometry methods to study nonlinear integrable systems of Toda type. Many challenging problems in theoretical physics are related to the solution of nonlinear systems of partial differential equations. One of the most fruitful approaches in recent years has resulted from a merging of group algebraic and geometric techniques. The book gives a comprehensive introduction to this exciting branch of science. Chapters 1 and 2 review basic notions of Lie algebras and differential geometry with an emphasis on further applications to integrable nonlinear systems. Chapter 3 contains a derivation of Toda type systems and their general solutions based on Lie algebra and differential geometry methods. The last chapter examines explicit solutions of the corresponding equations. The book is written in an accessible "lecture note" style with many examples and exercises to illustrate key points and to reinforce understanding.

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