Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds

This book is unique in providing a detailed exposition of modern Lie-algebraic theory of integrable nonlinear dynamic systems on manifolds and its applications to mathematical physics, classical mechanics and hydrodynamics. The authors have developed a canonical geometric approach based on differential geometric considerations and spectral theory, which offers solutions to many quantization procedure problems. Much of the material is devoted to treating integrable systems via the gradient-holonomic approach devised by the authors, which can be very effectively applied. Audience: This volume is recommended for graduate-level students, researchers and mathematical physicists whose work involves differential geometry, ordinary differential equations, manifolds and cell complexes, topological groups and Lie groups.

שנה

1998

שפה

English

סדרה

Mathematics and Its Applications -- 443

הוצאה

Springer Netherlands

מהדורות

1

עמודים

559

ISBN

9789401060967

מקור הנתונים: Wikidata