80 citations · 847 across the 69 of their papers we have counts for
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Quantum effects for extrinsic geometry of strings via the generalized Weierstrass representation
B. G. Konopelchenko, G. Landolfi
The generalized Weierstrass representation for surfaces in is used to study quantum effects for strings governed by Polyakov-Nambu-Goto action. Correlators of primary…
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…
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.…
Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies
L. V. Bogdanov, B. G. Konopelchenko
Integrable lattice equations arising in the context of singular manifold equations for scalar, multicomponent KP hierarchies and 2D Toda lattice hierarchy are considered. These equ…
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…
Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces
B. G. Konopelchenko, G. Landolfi
Generalizations of the Weierstrass formulae to generic surface immersed into , and into multidimensional Riemann spaces are proposed. Integrable deformations of surfaces…