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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., 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.
| Serija: | Research Reports in Physics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 1990 |
| Knygos puslapių skaičius: | 256 |
| ISBN-10: | 3540519831 |
| ISBN-13: | 9783540519836 |
| Formatas: | 242 x 170 x 15 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
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