Discrete systems and integrability /
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, United Kingdom ; New York, NY :
Cambridge University Press,
2016.
|
| Series: | Cambridge texts in applied mathematics
|
| Subjects: |
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 PainleveÌॱuations
- Lagrangian multiform theory.