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math.DG1998
Induced surfaces and their integrable dynamics. II. Generalized Weierstrass representations in 4D spaces and deformations via DS hierarchy
B. G. Konopelchenko, G. Landolfi
Extensions of the generalized Weierstrass representation to generic surfaces in 4D Euclidean and pseudo-Euclidean spaces are given. Geometric characteristics of surfaces are calcul…
math.DG1998
Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
B. G. Konopelchenko
Generalized Weierstrass representations for generic surfaces conformally immersed into four-dimensional Euclidean and pseudo-Euclidean spaces of different signatures are presented.…
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…