Carillo, Sandra ; & Ragnisco, Orlando ; editors : - Nonlinear Evolution Equations and Dynamical Systems

Berlin / Heidelberg, Springer-Verlag, (1990). orig. wrappers. 24x16cm, xiv,233 pp.. ISBN: 3540519831. Minor wear. Light corner bump. VG. ¶ Summary : "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".

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