LEADER 02885nam 2200577 a 450 001 9910143968203321 005 20200520144314.0 010 $a9783540881117 010 $a3540881115 024 7 $a10.1007/978-3-540-88111-7 035 $a(CKB)1000000000546689 035 $a(SSID)ssj0000318336 035 $a(PQKBManifestationID)11205760 035 $a(PQKBTitleCode)TC0000318336 035 $a(PQKBWorkID)10311128 035 $a(PQKB)11387200 035 $a(DE-He213)978-3-540-88111-7 035 $a(MiAaPQ)EBC3063676 035 $a(PPN)131119729 035 $a(EXLCZ)991000000000546689 100 $a20090205d2009 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aIntegrability /$fA.V. Mikhailov (ed.) 205 $a1st ed. 2009. 210 $aBerlin $cSpringer$d2009 215 $a1 online resource (XIII, 339 p.) 225 1 $aLecture notes in physics,$x1616-6361 ;$v767 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783540881100 311 08$a3540881107 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 ;$v767. 606 $aMathematical physics 606 $aIntegral equations 615 0$aMathematical physics. 615 0$aIntegral equations. 676 $a515/.45 701 $aMikhailov$b Alexander V.$f1953-$0505516 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910143968203321 996 $aIntegrability$94185165 997 $aUNINA