Nonlinear Systems and Their Remarkable Mathematical Structures-Volume 2

Part A: Integrability, Lax Pairs and Symmetry
Chapter A1: Reciprocal transformations and their role in the integrability and classification of PDEs
P Albares, P G Estevez, and C Sardon
Chapter A2: Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems 
M Blaszak and A Sergyeyev
Chapter A3: Lax Pairs for edge-constrained Boussinesq Systems of partial difference equations 
T J Bridgman and W Hereman
Chapter A4: Lie point symmetries of delay ordinary differential equations 
V A Dorodnitsyn, R Kozlov, S V Meleshko, and P Winternitz
Chapter A5: The symmetry approach to integrability: recent advances 
R Hernandez Heredero and V Sokolov
Chapter A6: Evolution of the concept of λ-symmetry and main Applications
C Muriel and J L Romero
Chapter A7: Heir-equations for partial differential equations: a 25-year review
M C Nucci
Part B: Algebraic and Geometric Methods
Chapter B1: Coupled nonlinear Schrödinger equations: spectra and instabilities of plane waves
A Degasperis, S Lombardo, and M Sommacal
Chapter B2: Rational solutions of Painlevé systems
D Gomez-Ullate, Y Grandati, and R Milson
Chapter B3: Cluster algebras and discrete integrability 
A N W Hone, P Lampe, and T E Kouloukas
Chapter B4: A review of elliptic difference Painlevé equations
N Joshi and N Nakazono
Chapter B5: Linkage mechanisms governed by integrable deformations of discrete space curves
S Kaji, K Kajiwara, and H Park
Chapter B6: The Cauchy problem of the Kadomtsev-Petviashvili hierarchy and infinite-dimensional groups 
J-P Magnot and E G Reyes
Chapter B7: Wronskian solutions of integrable systems 
D-j Zhang
Part C: Applications
Chapter C1: Global gradient catastrophe in a shallow water model: evolution unfolding by stretched coordinates
R Camassa
Chapter C2: Vibrations of an elastic bar, isospectral deformations, and modified Camassa-Holm equations
X Chang and J Szmigielski
Chapter C3: Exactly solvable (discrete) quantum mechanics and new orthogonal polynomials
R Sasaki