72 citations · 406 across the 28 of their papers we have counts for
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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…
Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies
L. V. Bogdanov, B. G. Konopelchenko
Analytic-bilinear approach for construction and study of integrable hierarchies is discussed. Generalized multicomponent KP and 2D Toda lattice hierarchies are considered. This app…
Analytic-bilinear approach to integrable hierarchies. I.Generalized KP hierarchy
L. V. Bogdanov, B. G. Konopelchenko
Analytic-bilinear approach for construction and study of integrable hierarchies, in particular, the KP hierarchy is discussed. It is based on the generalized Hirota identity. This…
Generalized integrable hierarchies and Combescure symmetry transformations
L. V. Bogdanov, B. G. Konopelchenko
Unifying hierarchies of integrable equations are discussed. They are constructed via generalized Hirota identity. It is shown that the Combescure transformations, known for a long…