ABSTRACT

Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories

part Part I|146 pages

Classical Systems

chapter Chapter 1|36 pages

A journey through the Korteweg–de Vries equation

ByM Lakshmanan

chapter Chapter 2|88 pages

The Painlevé methods

ByR Conte, M Musette‡

chapter Chapter 3|31 pages

Discrete integrability

ByK M Tatmzhmani, A Ramani, B Grammaticos, T Tamizhmani

chapter Chapter 5|40 pages

Introduction to solvable lattice models in statistical and mathematical physics

ByTetsuo Deguchi

part Part II

Quantum Systems

chapter Chapter 7|26 pages

The physical basis of integrable spin models

ByBose Indrani

chapter Chapter 8|26 pages

Exact solvability in contemporary physics

ByFoerster Angela, Links Jon, Zhou‡ Huan-Qiang Zhou