Books by Fritz (University of Missouri Gesztesy

The Korteweg-de Vries (KdV), the AKNS, the nonlinear Schroedinger, the sine-Gordon and the Camassa-Holm equations, and the Thirring system, are all completely integrable nonlinear PDEs permitting special classes of solutions. This is a detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions.

A detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions. Provides a rigorous and self-contained presentation at graduate level. Background material is succinctly presented in four appendices, and detailed notes and an exhaustive bibliography enhance understanding of the main results.