Nonlinear Evolution Equations and Dynamical Systems

Released on by Sandra Carillo
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  • Nonlinear Evolution Equations and Dynamical Systems Book Detail

  • Author : Sandra Carillo
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Science
  • Pages : 247
  • ISBN 13 : 3642840396
  • File Size : 81,81 MB
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Nonlinear Evolution Equations and Dynamical Systems by Sandra Carillo PDF Summary

Book Description: Nonlinear Evolution Equations and Dynamical Systems (NEEDS) provides a presentation of the state of the art. Except for a few review papers, the 40 contributions are intentially brief to give only the gist of the methods, proofs, etc. including references to the relevant litera- ture. This gives a handy overview of current research activities. Hence, the book should be equally useful to the senior resercher as well as the colleague just entering the field. Keypoints treated are: i) integrable systems in multidimensions and associated phenomenology ("dromions"); ii) criteria and tests of integrability (e.g., Painlev test); iii) new developments related to the scattering transform; iv) algebraic approaches to integrable systems and Hamiltonian theory (e.g., connections with Young-Baxter equations and Kac-Moody algebras); v) new developments in mappings and cellular automata, vi) applications to general relativity, condensed matter physics, and oceanography.

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