Vessels

Symmetric Vessels: (C=B*, Az= A*)

Theory of Regular symmetric vessels (survey)

Theory of general symmetric vessels (with unbounded operator)

Theory of regular KdV vessels (producing analytic in both variables solutions of the KdV equation, including examples of solitons in (Wolfram) Mathematica)

Theory of regular NLS vessels (producing analytic in both variables solutions of the evolutionary NLS equation)

Non-Symmetric vessels:

Non symmetric Boussines vessels (solving Boussinesq equation, including (Wolfram) Mathematica programs to create solitons)

Solution of the inverse scattering on the line with analytic initial potential. As a result KdV equation with such initial value is solved (Arxiv file)