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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. (Jarmo) (Author), Joshi, Nalini (Author), Nijhoff, Frank W. (Author)
Format: Book
Language:English
Published: Cambridge ; New York : Cambridge University Press, [2016]
Series:Cambridge texts in applied mathematics.
Subjects:
Integral equations.
Mathematical physics.
Online Access:Contributor biographical information
Publisher description
Table of contents only
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 PainlevĂ© equations
  • Lagrangian multiform theory.