Science/Engineering Applications of Analytic and Geometric Methods to Nonlinear Differential Equations (0792324579)

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Applications of Analytic and Geometric Methods to Nonlinear Differential Equations

In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve many physically significant equations, the `soliton' equations. (2) Twistor theory, using differential geometry, which has been used to solve the self-dual Yang--Mills (SDYM) equations, a four-dimensional system having important applications in mathematical physics. Both soliton and the SDYM equations have rich algebraic structures which have been extensively studied. Recently, it has been conjectured that, in some sense, all soliton equations arise as special cases of the SDYM equations; subsequently many have been discovered as either exact or asymptotic reductions of the SDYM equations.

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	Science/Engineering Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian SystemsSpringer \| ISBN 3540664793 \| 2000-03-15 \| DJVU \| 2.9 MB \| 274 pagesHilbert's talk at the second International Congress of 1900 in Paris mar ...
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	Science/Engineering Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian SystemsSpringer \| ISBN 3540664793 \| 2000-03-15 \| DJVU \| 2.9 MB \| 274 pagesHilbert's talk at the second International Congress of 1900 in Paris mar ...
	Science/Engineering Methods of Nonlinear Analysis: Applications to Differential Equations Pavel Drábek, Jaroslav Milota "Methods of Nonlinear Analysis: Applications to Differential Equations" Birkhäuser Basel \| 2007-06-28 \| ISBN: 3764381469 \| 568 pages \| PDF \| 5,1 MB Designed as textbook for advanced undergraduate and grad ...
	Science/Engineering Variational Methods in Image Segmentation (Progress in Nonlinear Differential Equations and Their Applications, Vol 14) Jean-Michel Morel, Sergio Solimini,"Variational models for image segmentation"Birkhäuser \| December 22, 1994 \| djvu \| ISBN: 0817637206 \| 264 pages \| 6mbThis text contains a synthesis and a mathematical analysis of a wide set of algorithms ...
	Science/Engineering Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations Wolfgang Tutschke, H. Florian, "Functional Analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations" World Scientific Publishing Company \| 2001 \| ISBN: 9810247648 \| 460 pages \| PDF \| 4,1 MB Func ...
	Mathematics Differential Equations, Chaos and Variational Problems (Progress in Nonlinear Differential Equations and Their Applications) (Progress in Nonlinear Differential Equations and Their Applications) Author: Publisher: Birkh?¡èuser Basel (2008)Binding: Hardcover, 435 pagespricer: $199.00ISBN-10: 3764384816editorialreviewsDifferential equations are a fast evolving branch of mathematics and one of the mathematical tools most used by sci ...
	Mathematics Variational Methods in Shape Optimization Problems (Progress in Nonlinear Differential Equations and Their Applications) Author: Dorin Bucur, Giuseppe ButtazzoPublisher: Birkh?user Boston (2005)Binding: Hardcover, 216 pagespricer: $79.95ISBN-10: 0817643591editorialreviewsThe study of shape optimization problems encompasses a wide spectrum of academic research ...

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