03874nam 2200697Ia 450 991081112320332120200520144314.01-107-19344-31-281-79136-997866117913600-511-42946-00-511-42827-80-511-42984-30-511-42766-20-511-54320-40-511-42898-7(CKB)1000000000553012(EBL)358851(OCoLC)437222483(SSID)ssj0000464429(PQKBManifestationID)11319378(PQKBTitleCode)TC0000464429(PQKBWorkID)10420529(PQKB)10350021(UkCbUP)CR9780511543203(Au-PeEL)EBL358851(CaPaEBR)ebr10250535(CaONFJC)MIL179136(PPN)261308254(MiAaPQ)EBC358851(EXLCZ)99100000000055301220020716d2008 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierSoliton equations and their algebro-geometric solutionsVolume II(1+1)-dimensional discrete models /Fritz Gesztesy ... [et al.]1st ed.Cambridge, UK ;New York Cambridge University Press20081 online resource (x, 438 pages) digital, PDF file(s)Cambridge studies in advanced mathematics ;79, 114Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-75308-2 Includes bibliographical references and index.Cover; Half-title; Series-title; Title; Copyright; Contents; Acknowledgments; Introduction; 1 The Toda Hierarchy; 2 The Kac-van Moerbeke Hierarchy; 3 The Ablowitz-Ladik Hierarchy; Appendix A: Algebraic Curves and Their Theta Functions in a Nutshell; Appendix B: Hyperelliptic Curves of the Toda-Type; Appendix C: Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations; Appendix D: Lagrange Interpolation; List of Symbols; Bibliography; Index; Errata and Addenda for VolumeAs a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results.Cambridge studies in advanced mathematics ;79, 114.Differential equations, NonlinearNumerical solutionsSolitonsDifferential equations, NonlinearNumerical solutions.Solitons.530.155355Gesztesy Fritz1953-66693MiAaPQMiAaPQMiAaPQBOOK9910811123203321Soliton equations and their algebro-geometric solutions1442406UNINA