Inverse Problems and Nonlinear Evolution Equations

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 [...]
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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.