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Analytic-Bilinear Approach to Integrable Hierarchies by L. V. Bogdanov (auth.) is a nonfiction available to read on EtoBox.
What is Analytic-Bilinear Approach to Integrable Hierarchies about?
The subject of this book is the hierarchies of integrable equations connected with the one-component and multi component loop groups. There are many publications on this subject, and it is rather well defined. Thus, the author would like t.o explain why he has taken the risk of revisiting the subject. The Sato Grassmannian approach, and other approaches standard in this context, reveal deep mathematical structures in the base of the integrable hi erarchies. These approaches concentrate mostly on the algebraic picture, and they use a language suitable for applications to quantum field theory. Another well-known approach, the a-dressing method, developed by S. V. Manakov and V.E. Zakharov, is oriented mostly to particular systems and ex act classes of their solutions. There is more emphasis on analytic properties, and the technique is connected with standard complex analysis. The language of the a-dressing method is suitable for applications to integrable nonlinear PDEs, integrable nonlinear discrete equations, and, as recently discovered, for t.he applications of integrable systems to continuous and discret.e geometry. The primary motivation of the author was to formalize the approa
Who reads Analytic-Bilinear Approach to Integrable Hierarchies?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- L. V. Bogdanov (auth.)
- Publisher
- Springer Netherlands : Imprint : Springer
- Published
- 1999
- Language
- EN
- ISBN
- 9789401059220
- Category
- nonfiction
- Subjects
- Mathematics, Science, Physics
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