Nonlinear Evolution Equations and Dynamical Systems (Research Reports in Physics) - Softcover

Softcover

ISBN 10: 3540519831 ISBN 13: 9783540519836

Publisher: Springer, 1990

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 1990
• Language: English
• ISBN 10: 3540519831
• ISBN 13: 9783540519836
• Binding: Paperback
• Number of pages: 247
• Editor: Carillo Sandra, Ragnisco Orlando