Dirac structures and integrability of nonlinear evolution equations
著者
書誌事項
Dirac structures and integrability of nonlinear evolution equations
(Nonlinear science : theory and applications)
Wiley & Sons, c1993
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This monograph introduces the reader to infinite-dimensional Hamiltonian theory and applies it to the integrability of evolution equations. It builds a theory of Hamiltonian structures appropriate for dynamical systems with both finite and infinite dimensional phase space.
目次
- Algebraic theory of Dirac structures
- Nijenhuis operators and pairs of Dirac structures
- the complex of formal variational calculus
- local Hamiltonian operators
- local symplectic operators and evolution equations related to them.
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