Nonlinear Evolution Equations and Dynamical Systems

Bücher

Angebote / Angebote:

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., Painlevé 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.