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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., Painleve 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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