LEADER 03714nam 22006375 450 001 996466795703316 005 20200703184711.0 010 $a3-540-69521-4 024 7 $a10.1007/BFb0113690 035 $a(CKB)1000000000778178 035 $a(SSID)ssj0000324040 035 $a(PQKBManifestationID)12072229 035 $a(PQKBTitleCode)TC0000324040 035 $a(PQKBWorkID)10304481 035 $a(PQKB)10265742 035 $a(DE-He213)978-3-540-69521-9 035 $a(PPN)155194852 035 $a(EXLCZ)991000000000778178 100 $a20121227d1997 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIntegrability of Nonlinear Systems$b[electronic resource] /$fedited by Yvette Kosmann-Schwarzbach, Basil Grammaticos, Kilkothur M. Tamizhmani 205 $a1st ed. 1997. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1997. 215 $a1 online resource (VII, 380 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v495 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-63353-7 327 $aNonlinear 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. 330 $aThe theory of nonlinear systems and, in particular, of integrable systems is related to several very active fields of research in theoretical physics. Many mathematical aspects of nonlinear systems, both continuous and discrete, are analyzed here with particular emphasis on the domains of inverse-scattering techniques, singularity analysis, the bilinear formalism, chaos in nonlinear oscillators, Lie-algebraic and group-theoretical methods, classical and quantum integrability, bihamiltonian structures. The book will be of considerable interest to those who wish to study integrable systems, and to follow the future developments, both in mathematics and in theoretical physics, of the theory of integrability. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v495 606 $aMathematical physics 606 $aFluids 606 $aMechanics 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 615 0$aMathematical physics. 615 0$aFluids. 615 0$aMechanics. 615 14$aTheoretical, Mathematical and Computational Physics. 615 24$aFluid- and Aerodynamics. 615 24$aClassical Mechanics. 676 $a515/.355 702 $aKosmann-Schwarzbach$b Yvette$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGrammaticos$b Basil$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aTamizhmani$b Kilkothur M$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 02$aC.I.M.P.A. (Center) 712 12$aInternational School on Nonlinear Systems$f(1996 :$ePondicherry, India) 906 $aBOOK 912 $a996466795703316 996 $aIntegrability of nonlinear systems$9668658 997 $aUNISA