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Other Special Nonlinear Compact Systems

  • Andrei LuduEmail author
Chapter
  • 993 Downloads
Part of the Springer Series in Synergetics book series (SSSYN)

Abstract

In this chapter we present an interesting back up of the previous chapters devoted to solitons on closed free surfaces, like drops. Namely, one can predict the possibility of existence of such exotic shapes from some first geometric principles. In the frame of geometric collective models, for example, it can be shown that these types of shapes can be created through the formalism of nonlinear symmetry groups. We conclude the chapter by presenting an example of Hamiltonian structure for systems with free closed boundaries.

Keywords

Hamiltonian Structure Collective Model Invariant Surface Galerkin Truncation Canonical Bracket 
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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of MathematicsEmbry-Riddle Aeronautical UniversityDaytona BeachUSA

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