Berlin: Springer-Verlag, 1991. — 120 p. — ISBN 3-540-50660-8,
0-387-50660-8
В книге излагаются основы метода преобразований Дарбу-Бэклунда в
теории нелинейных интегрируемых уравнений математической физики.
Introduction
Darboux Transformations and Linear Equations
Exact Solutions of the KdV and KP Equations
Darboux Transformations for the Zero Curvature Equations and Nonlocal Nonlinear Evolution Equations
Nonlinear Lattice Equations and Related Systems
Darboux Transformation for 2+1 Nonlinear Evolution Equations and Localized Soliton Solutions
Hamiltonian Interpretation of the Darboux Transformations and Other Problems
Darboux Transformations and Linear Equations
Exact Solutions of the KdV and KP Equations
Darboux Transformations for the Zero Curvature Equations and Nonlocal Nonlinear Evolution Equations
Nonlinear Lattice Equations and Related Systems
Darboux Transformation for 2+1 Nonlinear Evolution Equations and Localized Soliton Solutions
Hamiltonian Interpretation of the Darboux Transformations and Other Problems