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The Theory of Hamiltonian and Bi-Hamiltonian Systems

  • Maciej Blaszak
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

This chapter is devoted to the standard results of the algebraic theory of bi-Hamiltonian systems, developed during the last two decades. The crucial concepts like the one of the recursion operator introduced by Olver [158], the bi-Hamiltonian property formulated by Magri [123] as well as the hereditary property introduced by Fuchssteiner [82] gave a background for the modern algebraic theory of integrable systems.

Keywords

Vector Field Tensor Field Recursion Operator Tensor Invariant Hereditary Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Maciej Blaszak
    • 1
  1. 1.Physics DepartmentA. Mickiewicz UniversityPoznańPoland

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