02885nam 2200577 a 450 991014396820332120200520144314.09783540881117354088111510.1007/978-3-540-88111-7(CKB)1000000000546689(SSID)ssj0000318336(PQKBManifestationID)11205760(PQKBTitleCode)TC0000318336(PQKBWorkID)10311128(PQKB)11387200(DE-He213)978-3-540-88111-7(MiAaPQ)EBC3063676(PPN)131119729(EXLCZ)99100000000054668920090205d2009 uy 0engurnn|008mamaatxtccrIntegrability /A.V. Mikhailov (ed.)1st ed. 2009.Berlin Springer20091 online resource (XIII, 339 p.) Lecture notes in physics,1616-6361 ;767Bibliographic Level Mode of Issuance: Monograph9783540881100 3540881107 Includes bibliographical references and index.Symmetries 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.This 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.Lecture notes in physics ;767.Mathematical physicsIntegral equationsMathematical physics.Integral equations.515/.45Mikhailov Alexander V.1953-505516MiAaPQMiAaPQMiAaPQBOOK9910143968203321Integrability4185165UNINA