Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds
Subtitle: Classical and Quantum Aspects
By: by Anatoliy K. Prykarpatsky, Ihor V. Mykytiuk
Contributors: Mykytiuk, Ihor V.
Series: Mathematics and Its Applications -- 443; Mathematics and Its Applications -- 443
Publisher: Springer Netherlands
Published: 1998
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 559
ISBN-13: 9789401060967; 9789401149945
Subjects: Differential Equations; Cell aggregation; Topological Groups; Global differential geometry; Mathematics; Physics
Description: 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.
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