Related Books

Integrability of Nonlinear Systems
Language: en
Pages: 340
Authors: Yvette Kosmann-Schwarzbach, Basil Grammaticos, K.M. Tamizhmani
Categories: Science
Type: BOOK - Published: 2004-02-17 - Publisher: Springer Science & Business Media

The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be
Integrability of Nonlinear Systems
Language: en
Pages: 348
Authors: Yvette Kosmann-Schwarzbach, Basil Grammaticos, K. M. Tamizhmani
Categories: Science
Type: BOOK - Published: 2014-01-15 - Publisher:

Books about Integrability of Nonlinear Systems
Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds
Language: en
Pages: 559
Authors: A.K. Prykarpatsky, I.V. Mykytiuk
Categories: Science
Type: BOOK - Published: 2013-04-09 - Publisher: Springer Science & Business Media

In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, given in the majority of cases by Poisson brackets. Very often such Poisson structures on corresponding manifolds are canonical, which gives rise to the possibility of producing their
Integrability of Nonlinear Systems
Language: en
Pages: 380
Authors: Yvette Kosmann-Schwarzbach, Basil Grammaticos, Kilkothur M. Tamizhmani
Categories: Science
Type: BOOK - Published: 1997-11-18 - Publisher: Springer

The theory of nonlinear systems and, in particular, of integrable systems is related to several very active fields of research in theoretical physics. Many mathematical aspects of nonlinear systems, both continuous and discrete, are analyzed here with particular emphasis on the domains of inverse-scattering techniques, singularity analysis, the bilinear formalism,
Dirac Structures and Integrability of Nonlinear Evolution Equations
Language: en
Pages: 176
Authors: Irene Dorfman
Categories: Science
Type: BOOK - Published: 1993-06-22 - Publisher: John Wiley & Son Limited

An introduction to the area for non-specialists with an original approach to the mathematical basis of one of the hottest research topics in nonlinear science. Deals with specific aspects of Hamiltonian theory of systems with finite or infinite dimensional phase spaces. Emphasizes systems which occur in soliton theory. Outlines current