04105nam 22007095 450 991025739020332120200702000455.03-540-40962-910.1007/b94605(CKB)1000000000230922(SSID)ssj0000324039(PQKBManifestationID)11236833(PQKBTitleCode)TC0000324039(PQKBWorkID)10304851(PQKB)10318845(DE-He213)978-3-540-40962-5(PPN)155195719(EXLCZ)99100000000023092220121227d2004 u| 0engurnn|008mamaatxtccrIntegrability of Nonlinear Systems[electronic resource] /edited by Yvette Kosmann-Schwarzbach, Basil Grammaticos, K.M. Tamizhmani1st ed. 2004.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2004.1 online resource (XII, 340 p.) Lecture Notes in Physics,0075-8450 ;638Bibliographic Level Mode of Issuance: Monograph3-540-20630-2 Nonlinear 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).The 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.Lecture Notes in Physics,0075-8450 ;638PhysicsDifferential equationsPartial differential equationsStatistical physicsDynamical systemsMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Complex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Statistical Physics and Dynamical Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P19090Physics.Differential equations.Partial differential equations.Statistical physics.Dynamical systems.Mathematical Methods in Physics.Ordinary Differential Equations.Partial Differential Equations.Complex Systems.Statistical Physics and Dynamical Systems.530.15/18Kosmann-Schwarzbach Yvetteedthttp://id.loc.gov/vocabulary/relators/edtGrammaticos Basiledthttp://id.loc.gov/vocabulary/relators/edtTamizhmani K.Medthttp://id.loc.gov/vocabulary/relators/edtBOOK9910257390203321Integrability of nonlinear systems668658UNINA