Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Classics in Mathematics (CLASSICS)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (9 chapters)
-
Front Matter
-
Introduction
-
The Nonlinear Schrödinger Equation (NS Model)
-
Front Matter
-
-
General Theory of Integrable Evolution Equations
-
Front Matter
-
-
Conclusion
-
Back Matter
Keywords
About this book
Reviews
Authors and Affiliations
About the authors
Ludwig D. Faddeev was born in Leningrad, USSR in 1934. He graduated from the Leningrad State University in 1956 and received his Ph.D. from there in 1959. Since 1959 he has been affiliated with the Leningrad branch of Steklov Mathematical Institute and was its Director from 1976 to 2000. Currently Faddeev is Director of the Euler International Mathematical Institute in St. Petersburg, Russia, and Academician-Secretary of the Mathematics Division of the Russian Academy of Sciences. He was President of the International Mathematical Union during1986-1990.
Faddeev’s principal interests and contributions cover the large area of mathematical physics. They include, in chronological order, quantum scattering theory, spectral theory of automorphic functions, quantization of Yang-Mills theories, Hamiltonian methods in classical and quantum integrable systems, quantum groups and quantum integrable systems on a lattice. Faddeev’s work laid a mathematical foundation for functional methods in quantum gauge theories. A great deal of his work was directed towards development of Hamiltonian methods in classical and quantum field theories.
Leon A. Takhtajan was born in Erevan, Republic of Armenia of the USSR, in 1950. He was schooled in Leningrad, graduated from the Leningrad State University in 1973, and received his Ph.D. from the Leningrad branch of Steklov Mathematical Institute in 1975, with which he was affiliated during1973-1998. Since 1992 he has been Professor of Mathematics at Stony Brook University, USA.
Takhtajan’s principal interests and contributions are in the area of mathematical physics. They include classical and quantum integrable systems, quantum groups, Weil-Petersson geometry of moduli spaces of Riemann surfaces and moduli spaces of vector bundles, and application of quantum methods to algebraic and complex analysis. His work, together withL.D. Faddeev and E.K. Sklyanin, led to the development of the quantum inverse scattering method from which the theory of quantum groups was born.
Bibliographic Information
Book Title: Hamiltonian Methods in the Theory of Solitons
Authors: Ludwig D. Faddeev, Leon A. Takhtajan
Series Title: Classics in Mathematics
DOI: https://doi.org/10.1007/978-3-540-69969-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Softcover ISBN: 978-3-540-69843-2Published: 18 May 2007
eBook ISBN: 978-3-540-69969-9Published: 10 August 2007
Series ISSN: 1431-0821
Series E-ISSN: 2512-5257
Edition Number: 1
Number of Pages: IX, 592
Additional Information: Originally published in the series: Springer Series in Soviet Mathematics
Topics: Theoretical, Mathematical and Computational Physics, Partial Differential Equations, Integral Equations, Global Analysis and Analysis on Manifolds