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020 _a9783540409625
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024 7 _a10.1007/b94605
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072 7 _aSCI040000
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072 7 _aPHU
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082 0 4 _a530.15
_223
245 1 0 _aIntegrability of Nonlinear Systems
_h[electronic resource] /
_cedited by Yvette Kosmann-Schwarzbach, K. M. Tamizhmani, Basil Grammaticos.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2004.
300 _aXII, 340 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 ;
_v638
505 0 _aNonlinear Waves, Solitons, and IST (M.J. Ablowitz) -- Integrability - - and How to Detect it (B. Grammaticos, 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, R. Halburd) -- Eight Lectures on Integrable Systems (F. Magri, P. Casati, G. Falqui, M. Pedroni) -- Bilinear Formalism in Soliton Theory (J. Satsuma) -- Quantum and Classical Integrable Systems ( M.A. Semenov-Tian-Shansky).
520 _aThe 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 complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.
650 0 _aMathematical physics.
650 0 _aDifferential Equations.
650 0 _aDifferential equations, partial.
650 0 _aStatistical physics.
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aOrdinary Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12147
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
700 1 _aKosmann-Schwarzbach, Yvette.
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_4edt
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700 1 _aTamizhmani, K. M.
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700 1 _aGrammaticos, Basil.
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710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
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830 0 _aLecture Notes in Physics,
_x0075-8450 ;
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856 4 0 _uhttps://doi.org/10.1007/b94605
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