Discrete systems and integrability

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...

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Bibliographic Details
Main Authors: Hietarinta, J., Joshi, Nalini (Author), Nijhoff, Frank W. (Author)
Format: eBook
Published: Cambridge Cambridge University Press 2016
Series:Cambridge texts in applied mathematics
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • 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
  • One-dimensional lattices and maps
  • Identifying integrable difference equations
  • Hirota's bilinear method
  • Multi-soliton solutions and the Cauchy matrix scheme
  • Similarity reductions of integrable PE's
  • Discrete Painlevé equations
  • Lagrangian multiform theory