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Whiskered Tori for NLS Equations

  • D. W. McLaughlin
Part of the Springer Series in Nonlinear Dynamics book series (SSNONLINEAR)

Abstract

Spectral theory is used to display instabilities and hyperbolic structure for certain periodic soliton equations, as well as to generate representations of whiskered tori for these equations. The NLS equation is discussed as a primary model, with references to other equations which possess a similar hyperbolic structure. This chapter in the theory of integrable soliton equations is described in the terminology of dynamical systems theory, in anticipation of its future use in the study of near integrable perturbations.

Keywords

Unstable Manifold Homoclinic Orbit Double Point Soliton Equation Hyperbolic Structure 
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 1993

Authors and Affiliations

  • D. W. McLaughlin
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

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