By Alexander V. Razumov
Dedicated to an enormous and well known department of recent theoretical and mathematical physics, this ebook introduces using Lie algebra and differential geometry how you can examine nonlinear integrable structures of Toda kind. Many difficult difficulties in theoretical physics are on the topic of the answer of nonlinear platforms of partial differential equations. some of the most fruitful methods in recent times has resulted from a merging of staff algebraic and geometric thoughts. The ebook provides a entire creation to this fascinating department of technological know-how. Chapters 1 and a pair of evaluate uncomplicated notions of Lie algebras and differential geometry with an emphasis on extra functions to integrable nonlinear structures. bankruptcy three features a derivation of Toda variety platforms and their normal ideas according to Lie algebra and differential geometry tools. The final bankruptcy examines specific strategies of the corresponding equations. The ebook is written in an obtainable "lecture be aware" variety with many examples and routines to demonstrate key issues and to enhance figuring out.
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