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Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems (Hardcover, 1992 ed.)
Loot Price: R1,702
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Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems (Hardcover, 1992 ed.)
Series: Progress in Mathematical Physics, 15
Expected to ship within 10 - 15 working days
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The book reviews a large number of 1- and 2-dimensional equations
that describe nonlinear phenomena in various areas of modern
theoretical and mathematical physics. It is meant, above all, for
physicists who specialize in the field theory and physics of
elementary particles and plasma, for mathe maticians dealing with
nonlinear differential equations, differential geometry, and
algebra, and the theory of Lie algebras and groups and their
representa tions, and for students and post-graduates in these
fields. We hope that the book will be useful also for experts in
hydrodynamics, solid-state physics, nonlinear optics
electrophysics, biophysics and physics of the Earth. The first two
chapters of the book present some results from the repre sentation
theory of Lie groups and Lie algebras and their counterpart on
supermanifolds in a form convenient in what follows. They are
addressed to those who are interested in integrable systems but
have a scanty vocabulary in the language of representation theory.
The experts may refer to the first two chapters only occasionally.
As we wanted to give the reader an opportunity not only to come to
grips with the problem on the ideological level but also to
integrate her or his own concrete nonlinear equations without
reference to the literature, we had to expose in a self-contained
way the appropriate parts of the representation theory from a
particular point of view."
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