Dirac structures and integrability of nonlinear evolution equations

Bibliographic Information

Dirac structures and integrability of nonlinear evolution equations

Irene Dorfman

(Nonlinear science : theory and applications)

Wiley & Sons, c1993

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Includes bibliographical references and index

Description and Table of Contents

Description

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.

Table of Contents

  • 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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