Sakhnovich A.L., Sakhnovich L.A., Roitberg I.Ya. Inverse Problems and Nonlinear Evolution Equations

Amsterdam: de Gruyter, 2013. - 354 p.This monograph fits the clearly need for books with a rigorous treatment of the inverse problems for non-classical systems and that of initial-boundary-value problems for integrable nonlinear equations. The authors develop a unified treatment of explicit and global solutions via the transfer matrix function in a form due to Lev A. Sakhnovich. The book primarily addresses specialists in the field. However, it is self-contained and starts with preliminaries and examples, and hence also serves as an introduction for advanced graduate students in the field