03756nam 2200673Ia 450 991078236080332120200520144314.01-281-91343-X97866119134341-4020-8491-910.1007/978-1-4020-8491-1(CKB)1000000000546860(EBL)418083(OCoLC)311507109(SSID)ssj0000217518(PQKBManifestationID)11228295(PQKBTitleCode)TC0000217518(PQKBWorkID)10211590(PQKB)10801318(DE-He213)978-1-4020-8491-1(Au-PeEL)EBL418083(CaPaEBR)ebr10266902(CaONFJC)MIL1101486(Au-PeEL)EBL5292441(CaONFJC)MIL191343(PPN)132860570(MiAaPQ)EBC418083(EXLCZ)99100000000054686020080402d2008 uy 0engur|n|---|||||txtccrThe Painlevé handbook[electronic resource] /Robert Conte, Micheline Musette1st ed. 2008.Dordrecht Springerc20081 online resource (273 p.)Description based upon print version of record.94-007-9627-7 1-4020-8490-0 Includes bibliographical references (p. 234-252) and index.Introduction; Singularity Analysis: Painlevé Test; Integrating Ordinary Differential Equations; Partial Differential Equations: Paielevé Test; From the Test to Explicit Solutions of PDEs; Integration of Hamiltonian Systems; Discrete Nonlinear Equations; FAQ (Frequently Asked Questions)Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlevé test. If the equation under study passes the Painlevé test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schrödinger equation (continuous and discrete), the Korteweg-de Vries equation, the Hénon-Heiles Hamiltonians, on the nonintegrable side the complex Ginzburg-Landau equation (encountered in optical fibers, turbulence, etc), the Kuramoto-Sivashinsky equation (phase turbulence), the Kolmogorov-Petrovski-Piskunov equation (KPP, a reaction-diffusion model), the Lorenz model of atmospheric circulation and the Bianchi IX cosmological model. Written at a graduate level, the book contains tutorial text as well as detailed examples and the state of the art on some current research.Painlevé equationsMathematical physicsPainlevé equations.Mathematical physics.515.352518/.6Conte Robert1943-891610Musette Micheline731201MiAaPQMiAaPQMiAaPQBOOK9910782360803321The Painlevé handbook3768140UNINA01114nam0-2200301 --450 991103376990332120251030110537.088-7621-479-820251030d2005----kmuy0itay5050 baitaITa 001yyAllestireattraversamenti, temi, territori, ibridazionia cura di Lucio AltarelliRomaPalombi Editori2005207 p.ill.27 cmGromaVolumi6In copertina: Università degli studi di Roma La Sapienza, Dipartimento di architettura e analisi della città, Laboratorio architettura degli interni, allestimenti e spazi espositiviEdifici di esposizioneAllestimento725.91Altarelli,LucioUniversità degli studi di Roma La Sapienza.Laboratorio architettura degli interni, allestimenti e spazi espositiviITUNINAREICATUNIMARCBK9911033769903321DE FUSCO 1574RDF 1630DARSTDARSTAllestire2194880UNINA01864nam0 22003611i 450 UON0010281520231205102601.32920020107d1972 |0itac50 bafreFR|||| |||||Aristophanetexte etabli par Victor CoulonParis : Les Belles Lettres19724 v.20 cm1.: Les Acharniens. Les chevaliers. Les nuées001UON000871892001 Collection des Universités de France001UON003729102001 ˆLes ‰Guepes, La paix001UON003729112001 ˆLes ‰oiseaux, Lysistrata001UON003729122001 ˆLes ‰thesmophories, Les grenouillesLetteratura grecaUONC020864FIFRParisUONL002984AristophanesUONV056467602827COULONVictorUONV061679Les Belles LettresUONV245913650ARISTOFANEAristophanesUONV056470ITSOL20260313RICAUON00102815SIBA - SISTEMA BIBLIOTECARIO DI ATENEO E ARCHIVIO STORICOSI T 1 BL GR ARISTOPH 01 SI MC 23575 5 01 SIBA - SISTEMA BIBLIOTECARIO DI ATENEO E ARCHIVIO STORICOSI T 1 BL GR ARISTOPH 02 SI MC 23576 5 02 SIBA - SISTEMA BIBLIOTECARIO DI ATENEO E ARCHIVIO STORICOSI T 1 BL GR ARISTOPH 03 SI MC 23577 5 03 SIBA - SISTEMA BIBLIOTECARIO DI ATENEO E ARCHIVIO STORICOSI T 1 BL GR ARISTOPH 04 SI MC 23578 5 04 Aristophane4549612UNIOR