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010   $a3-540-88111-5
024 7 $a10.1007/978-3-540-88111-7
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035   $a(DE-He213)978-3-540-88111-7
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100   $a20100301d2009      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aIntegrability$b[electronic resource] /$fedited by Alexander Mikhailov
205   $a1st ed. 2009.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009.
215   $a1 online resource (XIII, 339 p.) 
225 1 $aLecture Notes in Physics,$x0075-8450 ;$v767
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-88110-7 
320   $aIncludes bibliographical references and index.
327   $aSymmetries of Differential Equations and the Problem of Integrability -- Number Theory and the Symmetry Classification of Integrable Systems -- Four Lectures: Discretization and Integrability. Discrete Spectral Symmetries -- Symmetries of Spectral Problems -- Normal Form and Solitons -- Multiscale Expansion and Integrability of Dispersive Wave Equations -- Painlevé Tests, Singularity Structure and Integrability -- Hirota?s Bilinear Method and Its Connection with Integrability -- Integrability of the Quantum XXZ Hamiltonian.
330   $aThis is a unique collection of lectures on integrability, intended for graduate students or anyone who would like to master the subject from scratch, and written by leading experts in the field including Fields Medallist Serge Novikov. Since integrable systems have found a wide range of applications in modern theoretical and mathematical physics, it is important to recognise integrable models and, ideally, to obtain a global picture of the integrable world. The main aims of the book are to present a variety of views on the definition of integrable systems; to develop methods and tests for integrability based on these definitions; and to uncover beautiful hidden structures associated with integrable equations.
410  0$aLecture Notes in Physics,$x0075-8450 ;$v767
606   $aMathematical physics
606   $aMechanics
606   $aFluids
606   $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
606   $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026
615  0$aMathematical physics.
615  0$aMechanics.
615  0$aFluids.
615 14$aTheoretical, Mathematical and Computational Physics.
615 24$aClassical Mechanics.
615 24$aFluid- and Aerodynamics.
676   $a515/.45
702   $aMikhailov$b Alexander$4edt$4http://id.loc.gov/vocabulary/relators/edt
906   $aBOOK
912   $a9910143968203321
996   $aIntegrability$9774043
997   $aUNINA