KdV & KAM pp 51-109 | Cite as

Birkhoff Coordinates

  • Thomas Kappeler
  • Jürgen Pöschel
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete / A Series of Modern Surveys in Mathematics book series (MATHE3, volume 45)


In this chapter we consider the KdV equation
$$ q_t = - qxxx + 6qq_x $$
on the space L 2 (S 1) of 1-periodic functions on the real line.


Riemann Surface Poisson Bracket Poisson Structure Orthogonality Relation Linear Isomorphism 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Thomas Kappeler
    • 1
  • Jürgen Pöschel
    • 2
  1. 1.Institut für MathematikUniversität ZürichZürichSwitzerland
  2. 2.Fakultät Mathematik und PhysikUniversität StuttgartStuttgartGermany

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