03716nam 22006375 450 991025738530332120200703184711.03-540-69521-410.1007/BFb0113690(CKB)1000000000778178(SSID)ssj0000324040(PQKBManifestationID)12072229(PQKBTitleCode)TC0000324040(PQKBWorkID)10304481(PQKB)10265742(DE-He213)978-3-540-69521-9(PPN)155194852(EXLCZ)99100000000077817820121227d1997 u| 0engurnn|008mamaatxtccrIntegrability of Nonlinear Systems[electronic resource] /edited by Yvette Kosmann-Schwarzbach, Basil Grammaticos, Kilkothur M. Tamizhmani1st ed. 1997.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1997.1 online resource (VII, 380 p.) Lecture Notes in Physics,0075-8450 ;495Bibliographic Level Mode of Issuance: Monograph3-540-63353-7 Nonlinear waves, solitons and IST -- Integrability — and how to detect it -- to the Hirota bilinear method -- Lie bialgebras, poisson Lie groups and dressing transformations -- Analytic and asymptotic methods for nonlinear singularity analysis: a review and extensions of tests for the Painlevé property -- Bifurcations, chaos, controlling and synchronization of certain nonlinear oscillators -- Eight lectures on integrable systems -- Bilinear formalism in solition theory -- Quantum and classical integrable systems.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.Lecture Notes in Physics,0075-8450 ;495Mathematical physicsFluidsMechanicsTheoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Fluid- and Aerodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21026Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Mathematical physics.Fluids.Mechanics.Theoretical, Mathematical and Computational Physics.Fluid- and Aerodynamics.Classical Mechanics.515/.355Kosmann-Schwarzbach Yvetteedthttp://id.loc.gov/vocabulary/relators/edtGrammaticos Basiledthttp://id.loc.gov/vocabulary/relators/edtTamizhmani Kilkothur Medthttp://id.loc.gov/vocabulary/relators/edtC.I.M.P.A. (Center)International School on Nonlinear Systems(1996 :Pondicherry, India)BOOK9910257385303321Integrability of nonlinear systems668658UNINA