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020 _a9783540695219
_9978-3-540-69521-9
024 7 _a10.1007/BFb0113690
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
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082 0 4 _a530.1
_223
245 1 0 _aIntegrability of Nonlinear Systems
_h[electronic resource] :
_bProceedings of the CIMPA School Pondicherry University, India, 8–26 January 1996 /
_cedited by Y. Kosmann-Schwarzbach, B. Grammaticos, K. M. Tamizhmani.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1997.
300 _aVII, 380 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v495
505 0 _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.
520 _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.
650 0 _aMechanics.
650 1 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
650 2 4 _aFluid- and Aerodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21026
650 2 4 _aClassical Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/P21018
700 1 _aKosmann-Schwarzbach, Y.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aGrammaticos, B.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aTamizhmani, K. M.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662141175
776 0 8 _iPrinted edition:
_z9783540633532
776 0 8 _iPrinted edition:
_z9783662141168
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v495
856 4 0 _uhttps://doi.org/10.1007/BFb0113690
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