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Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds
Prykarpatsky, Anatoliy K.; Mykytiuk, Ihor V.
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Description for Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds
hardcover. Provides 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. This book offers solutions to many quantization procedure problems. It is for graduate-level students, researchers and mathematical physicists. Series: Mathematics and its Applications. Num Pages: 559 pages, biography. BIC Classification: PBMP; PDE; TBJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 170 x 31. Weight in Grams: 962.
In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, given in the majority of cases by Poisson brackets. Very often such Poisson structures on corresponding manifolds are canonical, which gives rise to the possibility of producing their hidden group theoretical essence for many completely integrable dynamical systems. It is a well understood fact that great part of comprehensive integrability theories of nonlinear dynamical systems on manifolds is based on Lie-algebraic ideas, by means of which, in particular, the classification of such compatibly bi Hamiltonian and isospectrally Lax ... Read more
In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, given in the majority of cases by Poisson brackets. Very often such Poisson structures on corresponding manifolds are canonical, which gives rise to the possibility of producing their hidden group theoretical essence for many completely integrable dynamical systems. It is a well understood fact that great part of comprehensive integrability theories of nonlinear dynamical systems on manifolds is based on Lie-algebraic ideas, by means of which, in particular, the classification of such compatibly bi Hamiltonian and isospectrally Lax ... Read more
Product Details
Format
Hardback
Publication date
1998
Publisher
Kluwer Academic Publishers United States
Number of pages
559
Condition
New
Series
Mathematics and its Applications
Number of Pages
559
Place of Publication
Dordrecht, Netherlands
ISBN
9780792350903
SKU
V9780792350903
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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