Classical and quantum nonlinear integrable systems: theory and applications

Description

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 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 Content: Preface (A Kundu) A Journey Through the KdV Equation (M Lakshmanan) The Painleve methods (R Conte and M Musette) Discrete Integrability (K M Tamizhmani, A Ramani, B Grammaticos and T Tamizhmani) The D-BAR Method: A Tool for Solving Two-Dimensional Integrable Evolution PDEs (A S Fokas) Introduction to Solvable Lattice Models in Statistical and Mathematical Physics (T Deguchi)II. QUANTUM SYSTEMS Unifying Approaches in Integrable Systems: Quantum and Statistical, Ultralocal and Nonultralocal (A Kundu) The Physical Basis of Integrable Spin Models (I Bose) Exact Solvability in Contemporary Physics (A Foerster, J Links and H-Q Zhou) The Thermodynamics of the spin-1/2 XXX Chain: Free Energy and Low-temperature Singularities of Correlation Lengths (A Klumper and C Scheeren) Reaction-Diffusion Processes and Their Connection with Integrable Quantum Spin Chains (M Henkel)