Discrete Systems and Integrability (Hardcover) (ISBN-13: 9781107042728)

This first introductory text to discrete integrable systems introduces key notions of integrability from the vantage point of discrete systems, also making connections with the continuous theory where relevant. While treating the material at an elementary level, the book also highlights many recent developments. Topics include: Darboux and Bäcklund transformations; difference equations and special functions; multidimensional consistency of integrable lattice equations; associated linear problems (Lax pairs); connections with Padé approximants and convergence algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painlevé equations; and the novel theory of Lagrangian multiforms. The book builds the material in an organic way, emphasizing interconnections between the various approaches, while the exposition is mostly done through explicit computations on key examples. Written by respected experts in the field, the numerous exercises and the thorough list of references will benefit upper-level undergraduate, and beginning graduate students as well as researchers from other disciplines.

Author: J. Hietarinta, N. Joshi, F. W. Nijhoff
ISBN-10: 1107042720
ISBN-13: 9781107042728
Publisher: Cambridge University Press
Language: English
Published: 09/01/2016
Pages: 458
Format: Hardcover
Weight: 2.12lbs
Size: 9.87h x 7.13w x 1.20d