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170324  eng 
020 


a 9781107337411

050 

4 
a QC20.7.I58

100 
1 

a Hietarinta, J.

245 
0 
0 
a Discrete systems and integrability
c J. Hietarinta, N. Joshi, F.W. Nijhoff

260 


a Cambridge
b Cambridge University Press
c 2016

300 


a xiii, 445 pages
b digital

505 
0 

a Introduction to difference equations  Discrete equations from transformations of continuous equations  Integrability of PEs  Interlude: lattice equations and numerical algorithms  Continuum limits of lattice PE  Onedimensional lattices and maps  Identifying integrable difference equations  Hirota's bilinear method  Multisoliton solutions and the Cauchy matrix scheme  Similarity reductions of integrable PE's  Discrete Painlevé equations  Lagrangian multiform theory

653 


a Integral equations

653 


a Mathematical physics

700 
1 

a Joshi, Nalini
e [author]

700 
1 

a Nijhoff, Frank W.
e [author]

041 
0 
7 
a eng
2 ISO 6392

989 


b CBO
a Cambridge Books Online

490 
0 

a Cambridge texts in applied mathematics

856 
4 
0 
u https://doi.org/10.1017/CBO9781107337411
x Verlag
3 Volltext

082 
0 

a 511.1

520 


a 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 upperlevel undergraduate, and beginning graduate students as well as researchers from other disciplines
