Integrability of nonlinear systems : proceedings of the CIMPA School, Pondicherry University, India, 8-26 January 1996 / Y. Kosmann-Schwarzbach, B. Grammaticos, K.M. Tamizhmani (eds.).

Contributor(s): Kosmann-Schwarzbach, Yvette, 1941- | Grammaticos, B. (Basil), 1946- | Tamizhmani, K. M. (Kilkothur M.), 1954- | C.I.M.P.A. (Center) | International School on Nonlinear Systems (1996 : Pondicherry, India)
Material type: TextTextSeries: Lecture notes in physics: 495.Publisher: Berlin ; New York : Springer, 1997Description: 1 online resource (vi, 380 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540695219; 3540695214Subject(s): Nonlinear theories -- Congresses | Mathematical physics -- Congresses | Mathematical physics | Nonlinear theories | Integrables System | Integrierbarkeit | Kongress | Nichtlineares System | Théories non linéaires -- Congrès | Physique mathématique -- CongrèsGenre/Form: Electronic books. | Conference papers and proceedings. | Kongress. Additional physical formats: Print version:: Integrability of nonlinear systems.DDC classification: 515/.355 LOC classification: QC20.7.N6 | I52 1997Other classification: UD 8220 Online resources: Click here to access online
Contents:
Nonlinear waves, solitons and IST / M.J. Ablowitz -- Integrability-and how to detect it / B. Grammaticos and A. Ramani -- Introduction to the Hirota bilinear method / J. Hietarinta -- Lie bialgebras, poisson lie groups and dressing transformations / Y. Kosmann-Schwarzbach -- Analytic and asymptotic methods for nonlinear singularity analysis : a review and extensions of tests for the Painlevé property / M.D. Kruskal, N. Joshi and R. Halburd -- Bifurcations, chaos, controlling and synchronization of certain nonlinear oscillators / M. Lakshmanan -- Eight lectures on integrable systems / F. Magri -- Bilinear formalism in soliton theory / J. Satsuma -- Quantum and classical integrable systems / M.A. Semenov-Tian-Shansky.
Action note: digitized 2010 committed to preserveSummary: 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, chaos in nonlinear oscillators, Lie-algebraic and group-theoretical methods, classical and quantum integrability, bihamiltonian structures. The book will be of considerable interest to those who wish to study integrable systems, and to follow the future developments, both in mathematics and in theoretical physics, of the theory of integrability.
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"International School on Nonlinear Systems, organized by the CIMPA-Centre International de Mathématics Pures et Appliquées/International Center for Pure and Applied Mathematics and Phondicherry University, was held in Pondicherry, India, from January 8 to January 26, 1996"--Preface.

Includes bibliographical references.

Nonlinear waves, solitons and IST / M.J. Ablowitz -- Integrability-and how to detect it / B. Grammaticos and A. Ramani -- Introduction to the Hirota bilinear method / J. Hietarinta -- Lie bialgebras, poisson lie groups and dressing transformations / Y. Kosmann-Schwarzbach -- Analytic and asymptotic methods for nonlinear singularity analysis : a review and extensions of tests for the Painlevé property / M.D. Kruskal, N. Joshi and R. Halburd -- Bifurcations, chaos, controlling and synchronization of certain nonlinear oscillators / M. Lakshmanan -- Eight lectures on integrable systems / F. Magri -- Bilinear formalism in soliton theory / J. Satsuma -- Quantum and classical integrable systems / M.A. Semenov-Tian-Shansky.

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, chaos in nonlinear oscillators, Lie-algebraic and group-theoretical methods, classical and quantum integrability, bihamiltonian structures. The book will be of considerable interest to those who wish to study integrable systems, and to follow the future developments, both in mathematics and in theoretical physics, of the theory of integrability.

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