Mathematical preliminaries -- Factorization and classical Darboux transformations -- From elementary to twofold elementary Darboux transformation -- Dressing chain equations -- Dressing in 2+1 dimensions -- Applications of dressing to linear problems -- Important links -- Dressing via local Riemann-Hilbert problem -- Dressing via nonlocal Riemann-Hilbert problem -- Generating solutions via problem
Summary
"This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation."--Jacket
Bibliography
Includes bibliographical references (pages 355-378) and index
