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solv-int1999
Generalized KP hierarchy: Möbius Symmetry, Symmetry Constraints and Calogero-Moser System
L. V. Bogdanov, B. G. Konopelchenko
Analytic-bilinear approach is used to study continuous and discrete non-isospectral symmetries of the generalized KP hierarchy. It is shown that Möbius symmetry transformation for…
solv-int1998
Singular sector of the KP hierarchy, -operators of non-zero index and associated integrable systems
Boris G. Konopelchenko, Luis Martinez Alonso, Elena Medina
Integrable hierarchies associated with the singular sector of the KP hierarchy, or equivalently, with $\dbar$-operators of non-zero index are studied. They arise as the restriction…
solv-int1997
Surfaces of Revolution via the Schroedinger Equation : Construction, Integrable Dynamics and Visualization
R. Beutler, B. G. Konopelchenko
Surfaces of revolution in three-dimensional Euclidean space are considered. Several new examples of surfaces of revolution associated with well-known solvable cases of the Schoedin…