Nonlinear evolution equations and dynamical systems
By: S. Carillo, O. Ragnisco (eds.).
Contributors: Carillo, S. 1955-; Ragnisco, O. 1946-; Workshop on Nonlinear Evolution Equations and Dynamical Systems (5th : 1989 : Orthodoxos Akademnia Krētēs)
Series: Research reports in physics
Publisher: Springer-Verlag; Springer
Published: 1990
Place of publication: Berlin; New York
Language: eng
Number of pages: 233
Subjects: Evolution equations, Nonlinear -- Congresses.; Differentiable dynamical systems -- Congresses.
Description: 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.
Notes: Includes bibliographical references and indexes.
"The Fifth Workshop on Nonlinear Evolution Equations and Dynamical Systems took place July 2-16, 1989 in Crete at the Orthodox Academy"--Pref.